$date = mysql_real_escape_string($_POST['date']);
$new_date = date('Y-m-d',strtotime($date));
$sql="INSERT INTO some_table (date)
VALUES
('$new_date')";
Example 2
//get the correct format
$new_date = date('Y-m-d',strtotime($_POST['date']));
//then you can insert that date
$insert = 'INSERT INTO some_table (field1) VALUES("'.mysql_real_escape_string($new_date).'")';