Finding the Third Proportional to 442,474 and 680,499

Step by Step Solution

1. Step 1: Write the proportion equation
   442,474 : 680,499 = 680,499 : x
2. Step 2: Convert to fraction form
   442,474/680,499 = 680,499/x
3. Step 3: Cross multiply
   442,474x = 680,499 × 680,499
4. Step 4: Simplify right side
   442,474x = 463,078,889,001
5. Step 5: Solve for x
   x = 463,078,889,001/442,474
6. Step 6: Final answer
   x = 1,046,567.46