Finding the Third Proportional to 442,472 and 680,496

Step by Step Solution

1. Step 1: Write the proportion equation
   442,472 : 680,496 = 680,496 : x
2. Step 2: Convert to fraction form
   442,472/680,496 = 680,496/x
3. Step 3: Cross multiply
   442,472x = 680,496 × 680,496
4. Step 4: Simplify right side
   442,472x = 463,074,806,016
5. Step 5: Solve for x
   x = 463,074,806,016/442,472
6. Step 6: Final answer
   x = 1,046,562.96