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So this took quite a bit of digging, but man was it interesting, sorry for the delay in responding:

https://archive.org/details/proceedingsofre00repu

Page 42 & Page 43
The Rules and the Order of Business

Page 43
Rule 4. Three hundred and four votes, being a majority of the whole number of votes when all the stes of the Union are represented in this Convention, according to the rates of representation presented in Rule 2, shall be required to nominate the candidates of this Convention for the office of President and Vice-President.

The next 29 pages cover an objection to Rule 4, over the specificity of the number of 304 votes constituting a majority.
This was because there was concern over voting by proxy to achieve this specific number, as not all of these delegates were going to be able to make it to the convention.
This finally was resolved by Page 72, by altering the language as such:

Page 72
4th. That the majority of the whole number of votes represented in this Convention, according to the ratio prescribed by the second rule, shall be required to nominate candidates for the offices of President and Vice-President.

They removed the specificity so it was essentially a majority of those present, as opposed to a hard number.

As you can see, its been a majority since the beginning, or at least the second RNC.