Question: Egmont Key State Park lies southwest of what park that is operated by Pinellas County on five offshore keys?
Context: Osceola Fundamental High School is a fundamental high school in Seminole, Florida operated by Pinellas County Schools.  Osceola has recently become one of the top rated high schools in Pinellas County for performing arts.  The school auditorium was originally built to house the Pinellas County Center for the Arts which ultimately would be housed at Gibbs High School, and as such is one of the largest and better equipped auditoriums of Pinellas County High Schools, featuring such accommodations as sound-dampening paneling and a computer-controlled lighting array. Lovers Key State Park is a 712 acre Florida State Park located on Lover's Key and three other barrier islands—Black Island, Inner and Long Key.  It is at 8700 Estero Blvd., Fort Myers Beach, between Big Carlos Pass and New Pass and 10.5 mi west of Interstate 75 on exit 116.  The park lies within the city limits of Bonita Springs and is just north of Bonita Beach.  The park uses a Fort Myers Beach zip code for address purposes. John Stansel Taylor was a Largo, Florida politician, citrus grower, and businessman who served as the first State Senator from Pinellas County, Florida.  He was born "six miles south of Largo" on March 21, 1871, before Largo became a municipality and when Pinellas County was still Western Hillsborough County.  Taylor’s parents were among the Pinellas Peninsula's first pioneers, and he was one of the first residents to be born in the Largo area.  He was one of four members of his family to serve in the State Legislature.  He was one of the largest landowners in Pinellas County, owning citrus groves and a packing plant at a time when Largo was nicknamed "Citrus City." Sawgrass Lake Park is a 333 acre park located in Pinellas County, Florida.  The park offers a road for biking and in-line skating, as well as birdwatching, hiking, and picnicking.  Located at 7400 25th St. North in St. Petersburg, Florida, it is one of the largest maple swamps on the Gulf Coast and includes an elevated mile-long boardwalk and half-mile dirt trail that "provide opportunities to see birds, butterflies, plants and animals in their natural settings within the most densely populated county in Florida."  The property is managed by the Pinellas County Parks & Recreation Department, the Pinellas County School District South-southwest of St. Petersburg, Florida, Fort De Soto Park is a park operated by Pinellas County on five offshore keys, or islands: Madelaine Key, St. Jean Key, St. Christopher Key, Bonne Fortune Key and the main island, Mullet Key.  The keys are connected by either bridge or causeway.  The island group is accessible by toll road from the mainland.  Historically, the islands were used for military fortifications; remnants and a museum exhibit this history.  Two piers, beaches, picnic area, hiking trails, bicycling trails, kayak trail, and a ferry to Egmont Key State Park are available. The Florida Reef (also known as the Great Florida Reef, Florida reefs, Florida Reef Tract and Florida Keys Reef Tract) is the only living coral barrier reef in the continental United States.  It is the third largest coral barrier reef system in the world (after the Great Barrier Reef and Belize Barrier Reef).  It lies a few miles seaward of the Florida Keys, is about 4 miles (6 to 7 km) wide and extends (along the 20 meter depth contour) 270 km from Fowey Rocks just east of Soldier Key to just south of the Marquesas Keys.  The barrier reef tract forms a great arc, concentric with the Florida Keys, with the northern end, in Biscayne National Park, oriented north-south and the western end, south of the Marquesas Keys, oriented east-west.  The rest of the reef outside Biscayne National Park lies within John Pennekamp Coral Reef State Park and the Florida Keys National Marine Sanctuary.  Isolated coral patch reefs occur northward from Biscayne National Park as far as Stuart, in Martin County.  Coral reefs are also found in Dry Tortugas National Park west of the Marquesas Keys.  There are more than 6,000 individual reefs in the system.  The reefs are 5,000 to 7,000 years old, having developed since sea levels rose following the Wisconsinan glaciation. Brooker Creek Preserve is located in Pinellas County, Florida, owned by the Pinellas County government and the Southwest Florida Water Management District, and managed by the Pinellas County Parks and Conservation Resources Department.  It encompasses 9800 acre and offers birding, horseback riding, and hiking.  The Preserve office is located at 3940 Keystone Road, Tarpon Springs, Florida, Egmont Key State Park is a Florida State Park located on Egmont Key, at the mouth of Tampa Bay, in the state of Florida, United States.  It lies southwest of Fort De Soto Park and can only be reached by boat or ferry.  The Egmont Key Lighthouse and the ruins of Fort Dade, a Spanish–American War era fort, are located in the park.  Egmont Key is in Hillsborough County in a narrow strip of the county that extends along the Tampa Port Shipping Channel. Anclote Key is an island off the Gulf Coast of the U.S. state of Florida, the largest island in the Anclote Keys, located at near Tarpon Springs.  Its name originates from the Spanish term for "anchor."  The island is accessible only by boat and is split between Anclote Key Preserve State Park and Anclote National Wildlife Reserve.  The island contains mangrove wetlands, coastal pine flatwoods, and beaches.  A large number of shorebirds nest and breed on Anclote Key and the surrounding islands.  Sand Key is located nearby.  Most of the island is located within Pasco County, while its southernmost section is in Pinellas County.  The island is home to the Anclote Keys Light. Pinellas Park is a city located in central Pinellas County, Florida, United States.  The population was 49,079 at the 2010 census.  Originally home to northern transplants and vacationers, the hundred year old city has grown into the fourth largest city in Pinellas County, the most densely-populated county in Florida.  The city and surrounding areas are almost completely urbanized.  Pinellas Park contains a substantial portion of the "Gateway" area of the county, targeted for future infrastructure, residential, and commercial development as it sits roughly in the middle of the Tampa Bay area's over two million people.  Though technically land-locked, its borders lie only a few miles from Tampa Bay to the east, and Boca Ciega Bay and the Gulf of Mexico to the west.  The city is known for its popular equestrian facilities and events, and many residents also participate in fishing and water activities in nearby venues.  On Park Boulevard, the city's oldest street and primary thoroughfare, one can find anything from produce stalls and flea markets to high-end luxury vehicles.
Answer: Fort De Soto Park