To tame a Carcharodontosaurus, you first need to trap it. Carry dinosaur corpses to the trapped Carcharodontosaurus and it will eat. A "trust" progress meter will appear above the Carcharodontosaurus. Once the meter is filled, ride the Carcharodontosaurus and a taming bar will appear. Kill creatures while riding the Carcharodontosaurus to fill up its taming bar.