Question: What is the seat of the county in the state where the Wyandotte Caves are located in which Arcadia can be found?

full_context: Document 1: Bat Cave and Cascade Caverns State Nature Preserves: Bat Cave and Cascade Caverns State Nature Preserves are two nature preserves totaling located within the boundaries of Carter Caves State Resort Park in Carter County, Kentucky, United States. Bat Cave was dedicated as part of the Office of Kentucky Nature Preserves system on December 16, 1981, for the protection of the Indiana bat with wintering numbers estimated at 28,000. The Cascade Caverns preserve was included to protect two rare plant species in Kentucky, the mountain maple and the Canadian yew.
Document 2: Natural Bridge State Park (Wisconsin): Natural Bridge State Park is a state park of Wisconsin, United States, featuring Wisconsin's largest natural arch. Directly beneath the arch is the Raddatz Rockshelter, a rock shelter once used by Paleo-Indians and now listed on the National Register of Historic Places. The park is located southwest of Baraboo between the unincorporated communities of Leland and Denzer, in the town of Honey Creek.
Document 3: Indian Echo Caverns: Indian Echo Caverns is a show cave in Derry Township (Dauphin County) near Hummelstown, Pennsylvania, USA. The limestone caves are open for the public to visit via guided tour.
Document 4: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 5: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
Document 6: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 7: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 8: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 9: Wyandotte Caves: Wyandotte Caves, a pair of limestone caves located on the Ohio River in Harrison-Crawford State Forest in Crawford County, north-east of Leavenworth and from Corydon in southern Indiana, is a popular tourist attraction. Wyandotte Caves were designated a National Natural Landmark in 1972. They are now part of O'Bannon Woods State Park. The cave system is the 5th largest in the state of Indiana.
Document 10: Creelsboro Natural Bridge: Creelsboro Natural Bridge (more commonly referred to as Rock House or the Rockhouse) is a natural bridge in southwestern Russell County, Kentucky, United States. It is located near the community of Creelsboro, approximately downstream from Wolf Creek Dam, which impounds Lake Cumberland. The Rockhouse is classified as a "meander" natural bridge because it was created by river erosion of a cliff on the outer side of a sharp meander in the river. Jim Creek flows through it before merging into the Cumberland River. With a span of , it is the seventh largest natural bridge in the United States.
Document 11: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 12: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 13: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 14: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
Document 15: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
ground_truth: Noblesville
sub_queries: Wyandotte Caves >> located in the administrative territorial entity Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville