Finding the Third Proportional to 402,543.50 and 822,565

Step by Step Solution

1. Step 1: Write the proportion equation
   402,543.50 : 822,565 = 822,565 : x
2. Step 2: Convert to fraction form
   402,543.50/822,565 = 822,565/x
3. Step 3: Cross multiply
   402,543.50x = 822,565 × 822,565
4. Step 4: Simplify right side
   402,543.50x = 676,613,179,225
5. Step 5: Solve for x
   x = 676,613,179,225/402,543.50
6. Step 6: Final answer
   x = 1,680,844.88