Yes, middle east is written with "中東" in Japanese. 中東 sounds "chuutou". anyway, 中 = middle 東 = east ...it's a bit simple, isn't it? ^^

The dictionary is your friend.

"中東" according to http://jisho.org/ (which is a really great online Japanese/English dictionary.. it even has a "Search kanji by radical" option! ^-^)