Document:

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                                                                  EXHIBIT 4.10.2

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                   CHANCELLOR MEDIA CORPORATION OF LOS ANGELES

                                   as Obligor

                                       AND

                           the Guarantors named herein

                                       AND

                              THE BANK OF NEW YORK,

                                   as Trustee

                            -------------------------

                          FIRST SUPPLEMENTAL INDENTURE

                           Dated as of August 23, 1999

                                       to

                                    Indenture

                          Dated as of December 22, 1997

                           --------------------------

                                  $500,000,000

                        8-1/8% Senior Subordinated Notes

                                    due 2007

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<PAGE>   2

     FIRST SUPPLEMENTAL INDENTURE dated as of August 23, 1999, among CHANCELLOR
MEDIA CORPORATION OF LOS ANGELES, a Delaware corporation (the "Company"), the
subsidiaries listed on Schedule I hereto (collectively, the "New Subsidiary
Guarantors") and THE BANK OF NEW YORK, a New York banking corporation, as
Trustee (the "Trustee").

     WHEREAS, the Company and certain subsidiary guarantors have heretofore
executed and delivered to the Trustee an Indenture dated as of December 22, 1997
(the "Indenture"), providing for the issuance of $500,000,000 aggregate
principal amount of 8-1/8% Senior Subordinated Notes due 2007 (the "Notes"); and

     WHEREAS, the Company, the New Subsidiary Guarantors and the Trustee desire
by this First Supplemental Indenture, pursuant to and as contemplated by the
provisions of the Indenture relating to the addition of guarantors, including
Sections 4.19, 9.01 and 10A.03, to add the New Subsidiary Guarantors as
guarantors pursuant to the terms of the Indenture; and

     WHEREAS, the execution and delivery of this First Supplemental Indenture
has been authorized by resolutions of the Boards of Directors of the Company,
and each of the New Subsidiary Guarantors; and

     WHEREAS, all conditions and requirements necessary to make this First
Supplemental Indenture a valid, binding legal instrument in accordance with its
terms have been performed and fulfilled by the parties hereto and the execution
and delivery thereof have been in all respects duly authorized by the parties
hereto.

     NOW, THEREFORE, in consideration of the above premises, each party agrees,
for the benefit of the others and for the equal and ratable benefit of the
holders of the Notes, as follows:

                                   ARTICLE I.

                     ASSUMPTION OF OBLIGATIONS AS GUARANTOR

Section 1.01. Assumption. Each of the New Subsidiary Guarantors hereby expressly
and unconditionally assumes each and every covenant, agreement and undertaking
of a Guarantor in the Indenture as of the date of this First Supplemental
Indenture, and also hereby expressly and unconditionally assumes each and every
covenant, agreement and undertaking of a Guarantor in each Note outstanding on
the date of this First Supplemental Indenture.

                                   ARTICLE II.

                            MISCELLANEOUS PROVISIONS

Section 2.01. Terms Defined. For all purposes of this First Supplemental
Indenture, except as otherwise defined or unless the context otherwise requires,
terms used in capitalized form in this First Supplemental Indenture and defined
in the Indenture have the meanings specified in the Indenture.

                                       2
<PAGE>   3

Section 2.02. Indenture. Except as amended hereby, the Indenture and the Notes
are in all respects ratified and confirmed and all the terms shall remain in
full force and effect.

Section 2.03. Governing Law. This FIRST Supplemental Indenture shall be governed
by and construed in accordance with the laws of the State of New York, as
applied to contracts made and performed within the State of New York, without
regard to principles of conflict of laws.

Section 2.04. Successors. All agreements of the Company and the New Subsidiary
Guarantors in this First Supplemental Indenture and the Notes shall bind their
successors. All agreements of the Trustee in this First Supplemental Indenture
shall bind its successors.

Section 2.05. Duplicate Originals. All parties may sign any number of copies of
this First Supplemental Indenture. Each signed copy shall be an original, but
all of them together shall represent the same agreement.

Section 2.06. Severability. In case any one or more of the provisions in this
First Supplemental Indenture or in the Notes shall be held invalid, illegal or
unenforceable, in any respect for any reason, the validity, legality and
enforceability of any such provision in every other respect and of the remaining
provisions shall not in any way be affected or impaired thereby, it being
intended that all of the provisions hereof shall be enforceable to the full
extent permitted by law.

Section 2.07. Trustee Disclaimer. The Trustee accepts the amendment of the
Indenture effected by this First Supplemental Indenture and agrees to execute
the trust created by the Indenture as hereby amended, but on the terms and
conditions set forth in the Indenture, including the terms and provisions
defining and limiting the liabilities and responsibilities of the Trustee, which
terms and provisions shall in like manner define and limit its liabilities and
responsibilities in the performance of the trust created by the Indenture as
hereby amended, and without limiting the generality of the foregoing, the
Trustee shall not be responsible in any manner whatsoever for or with respect to
any of the recitals or statements contained herein, all of which recitals or
statements are made solely by the Company and the New Subsidiary Guarantors, or
for or with respect to (i) the validity or sufficiency of this First
Supplemental Indenture or any of the terms or provisions hereof, (ii) the proper
authorization hereof by the Company and the New Subsidiary Guarantors by
corporate action or otherwise, (iii) the due execution hereof by the Company and
the New Subsidiary Guarantors or (iv) the consequences (direct or indirect and
whether deliberate or inadvertent) of any amendment herein provided for, and the
Trustee makes no representation with respect to any such matters.

Section 2.08. Effectiveness. This First Supplemental Indenture shall become
effective, once executed, upon receipt by the Trustee of a certificate of an
appropriate officer of the Company; and an opinion of Weil, Gotshal & Manges
LLP, counsel to the Company, each of which shall be dated no earlier than the
date hereof.

            (THE REMAINDER OF THIS PAGE IS INTENTIONALLY LEFT BLANK)

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     IN WITNESS WHEREOF, the parties hereto have caused this Supplemental
Indenture to be duly executed as of the day and year written above.

                                       CHANCELLOR MEDIA CORPORATION
                                       OF LOS ANGELES, as Obligor

                                       /s/ William S. Banowsky, Jr.
                                       ----------------------------------
                                       By:      William S. Banowsky, Jr.
                                       Title:   Executive Vice President

Attest: /s/
        ----------------------------

                                       On Behalf of Each of the New Subsidiary
                                       Guarantors Listed on Schedule I hereto

                                       /s/ William S. Banowsky, Jr.
                                       ----------------------------------
                                       By:      William S. Banowsky, Jr.
                                       Title:   Executive Vice President

Attest: /s/
        ----------------------------

                                       THE BANK OF NEW YORK,
                                       as Trustee

                                       /s/ Remo J. Reale
                                       -----------------------
                                       By:      Remo J. Reale
                                       Title:   Vice President

Attest: /s/
        --------------------------

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                                   SCHEDULE I

                            NEW SUBSIDIARY GUARANTORS
            (ALL NEW SUBSIDIARY GUARANTORS ARE DELAWARE CORPORATIONS
                         EXCEPT AS EXPRESSLY INDICATED)

The AMFM Radio Networks, Inc.
Chancellor Media Air Services Corporation
Chancellor Media Corporation of Michigan
Chancellor Media Corporation of New York
Chancellor Media Corporation of Ohio
Chancellor Media Martin Corporation
Chancellor Media MW Sign Corporation
Chancellor Media Nevada Sign Corporation
Chancellor Media Outdoor Corporation
Chancellor Media Radio Licenses, LLC (a Delaware limited liability company)
Chancellor Media/ Shamrock Radio Licenses, LLC (a Delaware limited liability
     company)
Chancellor Media Whiteco Outdoor Corporation
Cleveland Radio Licenses, LLC (a Delaware limited liability company)
Dowling Company Incorporated (a Virginia corporation)
Hardin Development Corporation (a Florida corporation)
Martin Media, L.P. (a California limited partnership)
Outdoor Promotions West, LLC (a Delaware limited liability company)
Parsons Development Company (a Florida corporation)
Revolution Outdoor Advertising, Inc. (a Florida corporation)
Transit America Las Vegas, LLC (a Delaware limited liability company)
Triumph Outdoor Holdings, LLC (a Delaware limited liability company)
Triumph Outdoor Louisiana, LLC (a Delaware limited liability company)
Triumph Outdoor Rhode Island, LLC (a Delaware limited liability company)
Western Poster Service, Inc. (a Texas corporation)
Zebra Broadcasting Corporation (an Ohio corporation)

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                                                                  EXHIBIT 4.10.3

===============================================================================

                               AMFM OPERATING INC.

                                   AS OBLIGOR

                                       AND

                           THE GUARANTORS NAMED HEREIN

                                       AND

                              THE BANK OF NEW YORK,

                                   AS TRUSTEE

                  --------------------------------------------

                          SECOND SUPPLEMENTAL INDENTURE

                          DATED AS OF NOVEMBER 19, 1999

                                       TO

                                    INDENTURE

                          DATED AS OF DECEMBER 22, 1997

                  --------------------------------------------

                                  $500,000,000

                   8 1/8% SENIOR SUBORDINATED NOTES DUE 2007

===============================================================================

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         SECOND SUPPLEMENTAL INDENTURE dated as of November 19, among AMFM
OPERATING INC., a Delaware corporation (formerly Capstar Communications, Inc.,
the "Company"), the subsidiaries listed on Schedule I hereto (collectively, the
"New Subsidiary Guarantors") and THE BANK OF NEW YORK, a New York banking
corporation, as Trustee (the "Trustee").

         WHEREAS, Chancellor Media Corporation of Los Angeles, a Delaware
corporation "CMCLA") and certain subsidiary guarantors have heretofore executed
and delivered to the Trustee an Indenture dated as of December 22, 1997, as
amended by that certain First Supplemental Indenture dated as of August 23, 1999
by and among CMCLA, the guarantors named therein and the Trustee (as amended,
the "Indenture"), providing for the issuance of $500,000,000 aggregate principal
amount of 81/8% Senior Subordinated Notes due 2007 (the "Notes");

         WHEREAS, pursuant to that certain Agreement and Plan of Merger by and
among CMCLA, Capstar Radio Broadcasting Partners, Inc., a Delaware corporation
("Capstar Radio"), SBI Holding Corporation, a Delaware corporation ("SBI"), and
the Company, dated as of November 19, 1999 (the "Merger Agreement"), among other
things, CMCLA, Capstar Radio, and SBI merged with and into the Company (the
"Merger");

         WHEREAS, the Company, the New Subsidiary Guarantors and the Trustee
desire by this Second Supplemental Indenture (i) pursuant to and as contemplated
by Section 5.01(a)(1)(B) of the Indenture, that the Company expressly assume all
of the obligations under the Notes and the Indenture, and (ii) pursuant to and
as contemplated by the provisions of the Indenture relating to the addition of
guarantors, including Sections 4.19, 9.01 and 10A.03, to add the New Subsidiary
Guarantors as guarantors pursuant to the terms of the Indenture;

         WHEREAS, the execution and delivery of this Second Supplemental
Indenture has been authorized by resolutions of the Boards of Directors of the
Company and each of the New Subsidiary Guarantors; and

         WHEREAS, all conditions and requirements necessary to make this Second
Supplemental Indenture a valid, binding legal instrument in accordance with its
terms have been performed and fulfilled by the parties hereto and the execution
and delivery thereof have been in all respects duly authorized by the parties
hereto.

         NOW, THEREFORE, in consideration of the above premises, each party
agrees, for the benefit of the others and for the equal and ratable benefit of
the holders of the Notes, as follows:

                                    ARTICLE I

                       ASSUMPTION OF OBLIGATIONS AS ISSUER

         Section 1.01 ASSUMPTION. The Company hereby expressly and
unconditionally assumes each and every covenant, agreement and undertaking of
CMCLA under the Indenture as of the date of this Second Supplemental Indenture,
and also hereby expressly and unconditionally assumes each

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and every covenant, agreement and undertaking of CMCLA under each Note
outstanding on the date of this Second Supplemental Indenture.

                                   ARTICLE II

                     ASSUMPTION OF OBLIGATIONS AS GUARANTOR

         Section 2.01 ASSUMPTION. Each of the New Subsidiary Guarantors hereby
expressly and unconditionally assumes each and every covenant, agreement and
undertaking of a Guarantor in the Indenture as of the date of this Second
Supplemental Indenture, and also hereby expressly and unconditionally assumes
each and every covenant, agreement and undertaking of a Guarantor in each Note
outstanding on the date of this Second Supplemental Indenture.

                                   ARTICLE III

                            MISCELLANEOUS PROVISIONS

         Section 3.01 DEFINED TERMS. For all purposes of this Second
Supplemental Indenture, except as otherwise defined or unless the context
otherwise requires, terms used in capitalized form in this Second Supplemental
Indenture and defined in the Indenture have the meanings specified in the
Indenture.

         Section 3.02 INDENTURE. Except as amended hereby, the Indenture and the
Notes are in all respects ratified and confirmed and all the terms shall remain
in full force and effect.

         Section 3.03 GOVERNING LAW. THIS SECOND SUPPLEMENTAL INDENTURE SHALL BE
GOVERNED BY AND CONSTRUED IN ACCORDANCE WITH THE LAWS OF THE STATE OF NEW YORK,
AS APPLIED TO CONTRACTS MADE AND PERFORMED WITHIN THE STATE OF NEW YORK, WITHOUT
REGARD TO PRINCIPLES OF CONFLICT OF LAWS.

         Section 3.04 SUCCESSORS. All agreements of the Company and the New
Subsidiary Guarantors in this Second Supplemental Indenture and the Notes shall
bind their successors. All agreements of the Trustee in this Second Supplemental
Indenture shall bind its successors.

         Section 3.05 DUPLICATE ORIGINALS. All parties may sign any number of
copies of this Second Supplemental Indenture. Each signed copy shall be an
original, but all of them together shall represent the same agreement.

         Section 3.06 SEVERABILITY. In case any one or more of the provisions in
this Second Supplemental Indenture or in the Notes shall be held invalid,
illegal or unenforceable, in any respect for any reason, the validity, legality
and enforceability of any such provision in every other respect and of the
remaining provisions shall not in any way be affected or impaired thereby, it
being intended that all of the provisions hereof shall be enforceable to the
full extent permitted by law.

                                        2

<PAGE>   4

         Section 3.07 TRUSTEE DISCLAIMER. The Trustee accepts the amendment of
the Indenture effected by this Second Supplemental Indenture and agrees to
execute the trust created by the Indenture as hereby amended, but on the terms
and conditions set forth in the Indenture, including the terms and provisions
defining and limiting the liabilities and responsibilities of the Trustee, which
terms and provisions shall in like manner define and limit its liabilities and
responsibilities in the performance of the trust created by the Indenture as
hereby amended, and without limiting the generality of the foregoing, the
Trustee shall not be responsible in any manner whatsoever for or with respect to
any of the recitals or statements contained herein, all of which recitals or
statements are made solely by the Company and the New Subsidiary Guarantors, or
for or with respect to (i) the validity or sufficiency of this Second
Supplemental Indenture or any of the terms or provisions hereof, (ii) the proper
authorization hereof by the Company and the New Subsidiary Guarantors by
corporate action or otherwise, (iii) the due execution hereof by the Company and
the New Subsidiary Guarantors or (iv) the consequences (direct or indirect and
whether deliberate or inadvertent) of any amendment herein provided for, and the
Trustee makes no representation with respect to any such matters.

         Section 3.08 EFFECTIVENESS. This Second Supplemental Indenture shall
become effective, once executed, upon receipt by the Trustee of a certificate of
the appropriate officers of the Company; and an opinion of Vinson & Elkins
L.L.P., counsel to the Company, each of which shall be dated no earlier than the
date hereof.

            [THE REMAINDER OF THIS PAGE IS INTENTIONALLY LEFT BLANK]

                                        3

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         IN WITNESS WHEREOF, the parties hereto have caused this Supplemental
Indenture to be duly executed as of the day and year written above.

                         AMFM OPERATING INC.,
                         as Obligor

                         By:  /s/ W. Schuyler Hansen
                              --------------------------------------------------
                              W. Schuyler Hansen
                              Senior Vice President and Chief Accounting Officer

                         ON BEHALF OF EACH OF THE NEW SUBSIDIARY
                         GUARANTORS LISTED ON SCHEDULE I HERETO*

                         By:  /s/ Kathy Archer
                              --------------------------------------------------
                              Kathy Archer
                              Senior Vice President

                         THE BANK OF NEW YORK,
                         as Trustee

                           /s/ Remo J. Reale
                         -------------------------------------------------------
                         By:  Remo J. Reale
                              --------------------------------------------------
                         Title:  Vice President
                              --------------------------------------------------

------------------

*For Capstar TX Limited Partnership, by Capstar Radio Operating Company, its
general partner.

<PAGE>   6

                                        CAPSTAR ROYALTY I CORPORATION
                                        CAPSTAR ROYALTY II CORPORATION
                                        CAPSTAR COMMUNICATIONS OF
                                             CALIFORNIA, INC.,
                                        as New Subsidiary Guarantors

                                        By:  /s/ Kathy Archer
                                             -----------------------------------
                                             Kathy Archer
                                             President

<PAGE>   7

                                   SCHEDULE I

                            NEW SUBSIDIARY GUARANTORS
         (ALL NEW SUBSIDIARY GUARANTORS ARE DELAWARE CORPORATIONS EXCEPT
                            AS EXPRESSLY INDICATED)

Chancellor Media Corporation of California
Chancellor Media Pennsylvania License Corp.
Chancellor Marketing Group, Inc. (a Virginia corporation)
CBC Acquisition Company, Inc.
Capstar Acquisition Company, Inc.
Capstar Operating Corporation
Capstar Royalty II Corporation
Osborn Entertainment Enterprises Corporation
Music Hall Club, Inc. (a West Virginia corporation)
Jamboree in the Hills
Capstar Royalty I Corporation
Triathlon Broadcasting Company
Capstar Communications California, Inc.
Capstar Radio Operating Company
WPYX, Inc. (a New York corporation)
Capstar TX Limited Partnership (a Delaware limited partnership)

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