How do I convert a latitude/longitude pair into a PostGIS geography type?

I'm trying to load a bunch of latitude/longitude pairs into a PostGIS geography type so as to be able to query by location.

In particular I have a table with float latitude and longitude columns and a geography(Point, 4326) column. I would like to do

update mytable set geography = ???

The documentation appears to suggest that the following should work:

update mytable set geography = ST_GeogFromText('POINT(' || latitude || ' ' ||
                                                           longitude || ')');

It doesn't. I don't know what it's interpreting this point as meaning, but it only allows the longitude to lie between -90 and 90, so it's clearly not a longitude.

So, what do I do?