Rivera sent a second tweet on Friday, apologizing for his 1991 memoir Exposing Myself, which detailed years of stories about Rivera's sex life, his personal and professional ups and downs on his journey to superstardom.
Midler stepped in Thursday, retweeting a 1991 interview in which she accused Rivera of pushing her into a bathroom and groping her in the early 1970s.
He also tweeted about his thoughts on what he thinks sexual harassment allegations should require (including a five-year time limit for reporting and evidence) and that he thinks victims are motivated by money.
At that time, he was four years into the 11-year run of daytime talk show "Geraldo" (and three years off the cover of Playgirl), and Barbara Walters was sitting down with Bette Midler for an interview.
"And this was when he was very, sort of, hot", she told Walters.
"Then she barrels forward, describing how, actually, "[Rivera] and his producer left the crew in the other room, they pushed me into my bathroom, they broke two poppers and pushed them under my nose, and proceeded to grope me...
Rivera's comments were widely criticized, which prompted him to tweet an apology about five hours later.
Geraldo Rivera participates in a "Celebrity Apprentice" panel in Pasadena, Calif., on January 16, 2015. "We were troubled by his comments and are addressing them with him", it tweeted.
"Poppers" is a slang term for the recreational drug alkyl nitrite. Because, of course, if allegations need to be "made in a timely fashion" - like oh, I don't know, just off the top of his head, "say w/n 5 yrs" - then that means the incident with Midler wouldn't count.
Walters, asking about a passage in the book "in which he said you and he had a torrid sexual affair and you were insatiable", urged Midler to "get in a little trouble" talking about it.
Rivera apologized for his original tweets, writing that he "didn't sufficiently explain" that he knows harassment is a problem. "Harassers are deviants who deserve what is coming to them".
He then goes on, in the second tweet, to take the Al Franken "I remember it differently" tack that seems to be cropping up in apologizes an very bad lot these days. "Bette, I apologize", Rivera tweeted.