Determine the Next Numbers: Completing 100,000, 200,000, ...

To solve this problem, we need to extend the given sequence $100,000, 200,000, \ldots$.

First, we observe the given numbers:

• The first term of the sequence is $100,000$.
• The second term of the sequence is $200,000$.

Next, we find the common difference ($d$) between consecutive terms:

$d = 200,000 - 100,000 = 100,000$.

This tells us that each term increases by $100,000$.

Using the pattern established, we can find the next terms in the sequence:

• The third term: $200,000 + 100,000 = 300,000$.
• The fourth term: $300,000 + 100,000 = 400,000$.
• The fifth term: $400,000 + 100,000 = 500,000$.

Therefore, the next terms in the sequence are $300,000, 400,000, 500,000$.

Given the choices, the correct sequence that matches this pattern is choice 3.

Therefore, the solution to the problem is $300,000, 400,000, 500,000$.