here's a link to a really cool map that shows the distance of all 50 US state capitals from their states' geographic and population centers.
http://www.bytemuse.com/post/central...tate-capitals/
nothing comes close to touching alaska for the greatest distances, but in the lower 48, california, nevada, wyoming and florida all seem to have capital cities that are the greatest distances from both of their centers.
indiana, arkansas, tennessee, south carolina and many of the tiny NE states have their capitals located pretty damn close to both centers.
michigan, oregon, and nebraska seem to be the most extreme examples of states being located close to their popualtion centers, but way off from their geographic centers.
and then there's illinois which has a capital located pretty close to the geographic center, but is far away from the population center because of the state's woefully lopsided population situation with chicagoland.