Finding the Third Proportional to 400,414 and 834,042

Step by Step Solution

1. Step 1: Write the proportion equation
   400,414 : 834,042 = 834,042 : x
2. Step 2: Convert to fraction form
   400,414/834,042 = 834,042/x
3. Step 3: Cross multiply
   400,414x = 834,042 × 834,042
4. Step 4: Simplify right side
   400,414x = 695,626,057,764
5. Step 5: Solve for x
   x = 695,626,057,764/400,414
6. Step 6: Final answer
   x = 1,737,267.07