Summer Work Clothes

Here's the deal. It's literally 110 degrees outside and 62 degrees in my office. This is wreaking havoc on my wardrobe choices. Either I have to dress for my office temperature and begin melting like Frosty the second I walk outside or I wear something that I won't die walking to the parking lot but then I freeze to death all day in my office. Twice today I have found myself walking outside just so that I can warm up enough to keep typing while I work. I keep a blanket in my office and look like someone's great grandmother as I sit in my office with it draped over my legs. I understand that everyone wants it to be cool inside, but man, could we find a happier medium??