A proposed amendment included in the original package of amendments now known as the Bill of Rights capped the number of individuals one representative could represent at 50,000.
The last time a full apportionment including increasing sets raised the number of members of the house of representatives at 433. This was in 1911, and we have only increased the number to 435 by adding the states of Hawaii and Alaska. When the permanent apportionment act was passed in 1929, the US population was approximately 121,767,000. US population is expected to shortly climb to above 330 million individuals. At that time it meant each representative represented about 281,000 people. Now each representative in the House represents over 758,000 individuals. Is it no surprise that members of Congress are often very out of touch with the individuals they represent?
How does this stack up to the rest of the world though? We are the worst in the world for representation. The next worst is Japan at one representative per 272,000. The graphic below from Vox shows clearly why the US house desperately needs to be expanded to increase our nation's democracy. If the US had the same proportions as Japan we would have 1223 representatives.
Congress this year had the ability to increase this number to make us more representative, but once again we have pushed off a desperate need. One proposal referred to as the "Wyoming rule" would make the smallest state by population, Wyoming be the basis for the smallest district possible. This would increase the size of the US House of Representatives to 573, or one representative per 575,000 individuals. This more modest proposal would help to fix the many issues, but we need to do more to uncap the house and make our democracy more representative of our nation, and more accessible to individuals.
What about the house chambers? They couldn't handle that number right? Well, rarely are all members of the house in the chambers, but the capitol was specifically designed by George Washington with it's large dome with the intent that it would expand as needed. Temporarily new members could be in the gallery if needed for the State of the Union and other major speeches. Other accommodations such as secured distance voting could also be allowed.