If you have decided to target the silver king that can get to be over 200 pounds of muscle, than there are many different methods of fishing for them.
Trolling for tarpon can be successful if you are using a white plug with red head. When towed under bridges, by pilings, and near docks these artificial plugs can be extremely effective. Keep the drag with some pressure on it, so when they hit you get a good hook set in the jaw.
Another good method is slow trolling live bait. Mullet, threadfin herring, and pilchards are preferred baits. Hooks the baits though the nose and troll the bait slowly behind your boat and bump the engines in and out of gear, as not to drown your bait. Using this method you should be using circle hooks with light drag. When the fish hits reel and get tight on the fish. The hook will usually set in the corner of the mouth.
These are just two methods of trolling for tarpon which has proven to work for several anglers. Get out on the water and give it a try.