C’mon guys, stop arguing about which category this should be in and answer the question.
Teleconverters do come in handy especially in aviation if you’re not using a large telephoto. But since they are a little pricey, if I were you I would sell your 55-250 and use the money you were planning to use from the converter and purchase a larger and more powerful telephoto lens. The 75-300mm is a good choice and it’s actually the same price as the teleconverter. But to answer your question, the teleconverter you linked will fit your lens if that is the lens you own (55-250 f/4-5.6 IS).