Finding the Third Proportional to 402,553.50 and 822,585

Step by Step Solution

1. Step 1: Write the proportion equation
   402,553.50 : 822,585 = 822,585 : x
2. Step 2: Convert to fraction form
   402,553.50/822,585 = 822,585/x
3. Step 3: Cross multiply
   402,553.50x = 822,585 × 822,585
4. Step 4: Simplify right side
   402,553.50x = 676,646,082,225
5. Step 5: Solve for x
   x = 676,646,082,225/402,553.50
6. Step 6: Final answer
   x = 1,680,884.86