You can use the one click method, don't even need to use your computer in that case. Generally I don't like the use of one-click methods but if you want to root and you don't want to dual boot your mac that is the only way I see it going. Here is the post with info about 1 click root method: http://forums.androidcentral.com/verizon-galaxy-s-iii-rooting-roms-hacks/210290-verified-root-method-vralg7-ota-users.html