Finding the Third Proportional to 99,150 and 206,505

Step by Step Solution

1. Step 1: Write the proportion equation
   99,150 : 206,505 = 206,505 : x
2. Step 2: Convert to fraction form
   99,150/206,505 = 206,505/x
3. Step 3: Cross multiply
   99,150x = 206,505 × 206,505
4. Step 4: Simplify right side
   99,150x = 42,644,315,025
5. Step 5: Solve for x
   x = 42,644,315,025/99,150
6. Step 6: Final answer
   x = 430,098.99