I used some vinyl cleaning product for my very first 78 and that was a disaster, obviously !

Though, the sound quality did not much deteriorate.
It's a dub, and I bought an original Brunswick copy since.

Now, I do mostly like Scrough: I use water with a small drop of washing up liquid (avoid too much foam !), and I rub the record with a sponge following the grooves (unlike what Bussard does on his video), then I rinse, I use a paint brush, and rinse again, but I dry the record immediately with a microfiber fabric, as I had pretty bad experiences when I let the records dry by themselves on a plate rack.
Works pretty well for me, and I can play my records pretty quickly after the cleaning.

I've done as Scrough described, adopting the procedure from cleaning LPs
Be careful only to do this on the traditional shellac with chalk filler type of 78 or any type of vinyl. Early construction techniques during the experimental period often used materials which would be destroyed by water, such as shellac with wood flour filler. Meths or isopropanol dried off quickly could be safe-ish, but preferably avoid contact with any fluid.

Even some of the records from the 40's had a sawdust/cardboard filling due to supply shortages during the war and several years after, any crack allowing water to enter the disc will cause the 78 to swell.

You can see that some records are made with card board fillers, especially when there is a slight chip missing from the rim. But I've never had a problem with them swelling. Of course, I don't soak my records in water.

Here is a site that discusses shellac records from a professional preservation standpoint. There's also an image that shows a record with a paper fiber core:
https://psap.library.illinois.edu/collection-id-guide/phonodisc
By the way, the cleaning solution they promote should be used for vinyl only, not for shellac records.

The Library of Congress recommends cleaning the grooves with canned air:
http://www.loc.gov/preservation/care/record.html