Question: What is the second-largest city is the state where the headquarters of Lincoln Industries is located?

Context paragraphs:
NIS building: The NIS building is the headquarters of "Naftna Industrija Srbije" (Serbian Cyrillic: ), Serbia's state-owned oil company.  It is located in Novi Sad, the country's second-largest city.  At the headquarters building there was the dandelion fountain.

Karlsruhe/Baden-Baden Airport: Karlsruhe/Baden-Baden Airport (IATA: FKB, ICAO: EDSB) (German: "Flughafen Karlsruhe/Baden-Baden") is the international airport of Karlsruhe, the second-largest city in the German state of Baden-Württemberg, and also serves the spa town of Baden-Baden.  It is the state's second-largest airport after Stuttgart Airport, and the 18th-largest in Germany with 1,110,500 passengers as of 2016 and mostly serves low-cost and leisure flights.

Gaya district: Gaya is one of the thirty-eight districts of Bihar state, India.  It was officially established on 3 October 1865.  The district has a common boundary with the state of Jharkhand to the south.  Gaya city is both the district headquarters and the second-largest city in Bihar.

Lincoln Industries: Lincoln Industries Corp., also known as Progress Rail Services Corporation - Signals Division, manufactures railroad signal products sold to customers throughout North America.  Founded in 1985, Lincoln Industries has been part of Caterpillar Inc. as a subsidiary of Progress Rail Services Corporation since January 8, 1998 and is organized under Progress Rail's Engineering and Track Services (ETS) group.  Lincoln Industries maintains a headquarters and manufacturing facility in Louisville, Kentucky, a manufacturing facility in Jacksonville, Florida and has access to Progress Rail facilities throughout North America for staging materials.

Louisville, Kentucky: Louisville ( , or ) is the largest city in the Commonwealth of Kentucky and the 29th-most populous city in the United States.  It is one of two cities in Kentucky designated as first-class, the other being the state's second-largest city of Lexington.  Louisville is the historical seat and, since 2003, the nominal seat of Jefferson County.

Nice: Nice ( , ] ; Niçard Occitan: "Niça" , classical norm, or "Nissa ", nonstandard, ] ; Italian: "Nizza" ] ; Greek: Νίκαια ; Latin: "Nicaea" ) is the fifth most populous city in France and the capital of the Alpes-Maritimes "département".  The urban area of Nice extends beyond the administrative city limits, with a population of about 1 million on an area of 721 km2 .  Located in the French Riviera, on the south east coast of France on the Mediterranean Sea, at the foot of the Alps, Nice is the second-largest French city on the Mediterranean coast and the second-largest city in the Provence-Alpes-Côte d'Azur region after Marseille.  Nice is about 13 kilometres (8 miles) from the principality of Monaco, and its airport is a gateway to the principality as well.

Port-Gentil: Port-Gentil or Mandji is the second-largest city of Gabon, and its leading seaport.  It is the center of Gabon's petroleum and timber industries.  Although it lies inshore, the nearby mainland is a remote forest area and it is not connected by road to the rest of the nation.  The city lies close to Cape Lopez, the westernmost point in Gabon.  It had a 2013 census population of 136,462.

Coimbatore: Coimbatore ( ), also known as Kovai (] ), is a major city in the Indian state of Tamil Nadu.  Located on the banks of the Noyyal River surrounded by the Western Ghats, it is the second-largest city in the state after Chennai and 16th-largest urban agglomeration in India.  It is the largest city in the Kongunadu region).  It is administered by the Coimbatore Municipal Corporation and is the administrative capital of Coimbatore district.  It is one of the fastest growing tier-II cities in India and a major hub for textiles, industries, commerce, education, information technology, healthcare, poultry and manufacturing in South India.  It is often referred to as the "Manchester of South India" due to its cotton production and textile industries.  Coimbatore is also referred to as the "Pump City" and it supplies nearly half of India's requirements of motors and pumps.  The city is one of the largest exporters of jewellery, wet grinders, poultry and auto components with "Coimbatore Wet Grinder" and "Kovai Cora Cotton" recognised as Geographical Indications by the Government of India.

Geography of the Bahamas: The Bahamas is a group of about 700 atolls and cays in the western Atlantic Ocean, of which only between 30 and 40 are inhabited.  The largest of the islands is Andros Island, located 200 km southeast of Florida.  The Bimini islands are to its northwest.  To the North is the island of Grand Bahama, home to the second-largest city in the country, Freeport.  The island of Great Abaco is to its east.  In the far south is the island of Great Inagua, the second-largest island in the country.  Other notable islands include Eleuthera, Cat Island, San Salvador Island, Acklins, Crooked Island, and Mayaguana.  Nassau is the capital and largest city, located on New Providence.  The islands have a tropical climate, moderated by the Gulf Stream.

Bilaspur, Chhattisgarh: Bilaspur is a city in Bilaspur District in the Indian state of Chhattisgarh, situated 133 km (83 miles) north of the state capital, Naya Raipur.  With a population of 693,851, it is the second-largest city after Raipur-Bhilai-Durg Tri City Metro area.  The Chhattisgarh State High Court, located at village Bodri, District Bilaspur has privileged it with the title 'Nyayadhani' ((Hindi: न्याय धानी ) Law Capital) of the state.  The Bilaspur High Court is the largest High Court of Asia.  Bilaspur is the administrative headquarters of Bilaspur District.  This city is the commercial center and business hub of North East Chhattisgarh region.  It is also an important city for the Indian Railways, as it is the headquarters for South East Central Railway Zone and the Bilaspur Railway Division.  Bilaspur is 3rd cleanest and 4th longest railway station in India.  Approximately 20% of the total earnings of Indian railways come from South East Central Railway.  Bilaspur is also the headquarters of South Eastern Coalfields Limited.

Supporting paragraphs: Lincoln Industries Louisville, Kentucky
Answer: Lexington