"...between the Roman Catholic and the Protestant."

Some Episcopalians do, but a number of Episcopalian and Anglican scholars think otherwise. Scholars like Anglican historian D. Mac Culloch note that the middle way developed in England in the late 16th century was between Lutheranism and Calvinism -- two quite distinct versions of Protestantism. The middle way which resulted was neither Calvinist nor Lutheran -- but it was certainly Protestant.

And other Anglican scholars like Alister McGrath note that from a historical perspective the English national Church of England must be regarded as a Protestant variant -- the "Protestant Episcopal Church of England and Ireland, as state/parliamentary documents regularly describe it. And as noted in my own post, the Episcopal Church in the US which prefers to describe itself as the "Episcopal Church" was originally entitled "the Protestant Episcopal Church in the United States of America." This still remains the EC's legal title.