Finding the Third Proportional to 261,486 and 404,055

Step by Step Solution

1. Step 1: Write the proportion equation
   261,486 : 404,055 = 404,055 : x
2. Step 2: Convert to fraction form
   261,486/404,055 = 404,055/x
3. Step 3: Cross multiply
   261,486x = 404,055 × 404,055
4. Step 4: Simplify right side
   261,486x = 163,260,443,025
5. Step 5: Solve for x
   x = 163,260,443,025/261,486
6. Step 6: Final answer
   x = 624,356.34