Finding the Third Proportional to 437,499 and 685,413

Step by Step Solution

1. Step 1: Write the proportion equation
   437,499 : 685,413 = 685,413 : x
2. Step 2: Convert to fraction form
   437,499/685,413 = 685,413/x
3. Step 3: Cross multiply
   437,499x = 685,413 × 685,413
4. Step 4: Simplify right side
   437,499x = 469,790,980,569
5. Step 5: Solve for x
   x = 469,790,980,569/437,499
6. Step 6: Final answer
   x = 1,073,810.41