Finding the Third Proportional to 315,498 and 684,510

Step by Step Solution

1. Step 1: Write the proportion equation
   315,498 : 684,510 = 684,510 : x
2. Step 2: Convert to fraction form
   315,498/684,510 = 684,510/x
3. Step 3: Cross multiply
   315,498x = 684,510 × 684,510
4. Step 4: Simplify right side
   315,498x = 468,553,940,100
5. Step 5: Solve for x
   x = 468,553,940,100/315,498
6. Step 6: Final answer
   x = 1,485,124.91