Finding the Third Proportional to 262,469 and 406,004

Step by Step Solution

1. Step 1: Write the proportion equation
   262,469 : 406,004 = 406,004 : x
2. Step 2: Convert to fraction form
   262,469/406,004 = 406,004/x
3. Step 3: Cross multiply
   262,469x = 406,004 × 406,004
4. Step 4: Simplify right side
   262,469x = 164,839,248,016
5. Step 5: Solve for x
   x = 164,839,248,016/262,469
6. Step 6: Final answer
   x = 628,033.21