Top molar pulled 3 mons ago i have had large painful hard bump protruding thru the outer gum since the extraction now its breaking thru the skin ?

Reevaluation: Have the dentist who extracted the tooth take a look. Without a radiograph or visual, it is hard to tell what it is.

Hard lump: Without a physical examination and appropriate imaging it is impossible to give you a definitive diagnosis. Could be bone spicule, root tip, encapsulated abscess, and so many other things. Return to the Dentist or specialist Oral Surgeon who removed the tooth. He/she is responsible for your post surgical care.