Finding the Third Proportional to 316,084.50 and 684,657

Step by Step Solution

1. Step 1: Write the proportion equation
   316,084.50 : 684,657 = 684,657 : x
2. Step 2: Convert to fraction form
   316,084.50/684,657 = 684,657/x
3. Step 3: Cross multiply
   316,084.50x = 684,657 × 684,657
4. Step 4: Simplify right side
   316,084.50x = 468,755,207,649
5. Step 5: Solve for x
   x = 468,755,207,649/316,084.50
6. Step 6: Final answer
   x = 1,483,005.99