Portal Module Permissions

Portal Module Permissions

I am setting up a portal for some of my clients.  Part of that process is for them to add new contacts and new accounts and generate a quote for those new contacts and accounts.  I have tried to add the accounts module so they can add new accounts when adding new contacts but the only way I can see the accounts module is to make it public which is view only.  I have tried changing share properties in ZOHO CRM but can't seem to get access.  It does give an option to "create new account" but then gives a dialog showing "Permission Denied".
Any thoughts on how to overcome this issue?