Having more date nights is good, but without solid communication to address the underlying reasons your partner would go on a date with a woman he met out of town, those issues are unresolved and it could happen again, or continue to happen.
Presumably he knew the boundaries before. A reasonable person knows that if you’re in a committed relationship it’s inappropriate to meet someone of the opposite sex and take them out for dinner and drinks. So what caused him to do that and tell you a story that didn’t really add up? Did you have a state of the relationship conversation to find out? Did you share your wants and needs with each other?