Finding the Third Proportional to 90,790 and 198,805

Step by Step Solution

1. Step 1: Write the proportion equation
   90,790 : 198,805 = 198,805 : x
2. Step 2: Convert to fraction form
   90,790/198,805 = 198,805/x
3. Step 3: Cross multiply
   90,790x = 198,805 × 198,805
4. Step 4: Simplify right side
   90,790x = 39,523,428,025
5. Step 5: Solve for x
   x = 39,523,428,025/90,790
6. Step 6: Final answer
   x = 435,327.99