I'm afraid you're wrong about the use of the term "third world."

A nation is called such depending upon its infrastructer and othercommon characteristics, such as poverty, high birthrates, and economic dependence on the advanced countries.

It has nothing to do with the cold war.

Goodness BRNM, do a little backup work please. ”Third World” emerged early in the Cold War to distinguish the non-aligned nations belonging formally to neither the US nor Soviet blocs.