Hi Blake,
You can solve that from several ways.
1. change php.ini file with this option, that should be enougth.
; Maximum size of POST data that PHP will accept.
post_max_size = 256M
; Maximum allowed size for uploaded files.
upload_max_filesize = 256M
; Maximum execution time of each script, in seconds
max_execution_time = 600
; Maximum amount of time each script may spend parsing request data
max_input_time = 600
; Maximum amount of memory a script may consume (8MB)
memory_limit = 512M
2. Import the sql file from the command line.
mysql -p... -u... -h... database_name < file.sql
3. Use Sequel Pro http://www.sequelpro.com/ that works like phpmyadmin and works on Mac's.