Finding the Third Proportional to 315,496 and 684,504

Step by Step Solution

1. Step 1: Write the proportion equation
   315,496 : 684,504 = 684,504 : x
2. Step 2: Convert to fraction form
   315,496/684,504 = 684,504/x
3. Step 3: Cross multiply
   315,496x = 684,504 × 684,504
4. Step 4: Simplify right side
   315,496x = 468,545,726,016
5. Step 5: Solve for x
   x = 468,545,726,016/315,496
6. Step 6: Final answer
   x = 1,485,108.29