Ok you understand transition state good enough. Note that not all intermediates are carbocations though... there's all sorts of intermediates that can exist in the universe. An intermediate is just a compound present on the way to the final product but is lower in energy than the transition state. Transition states occur at the "top of the hill" between starting material, intermediates, and product.
So if A is the starting material, and C is the final product, what is B called? Is it a transition state or a product?
On your drawing, you have A and C at about the same y-axis value. What is the y axis? Should they be at the same value?