Finding the Third Proportional to 99,022.25 and 206,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,022.25 : 206,204.50 = 206,204.50 : x
2. Step 2: Convert to fraction form
   99,022.25/206,204.50 = 206,204.50/x
3. Step 3: Cross multiply
   99,022.25x = 206,204.50 × 206,204.50
4. Step 4: Simplify right side
   99,022.25x = 42,520,295,820.25
5. Step 5: Solve for x
   x = 42,520,295,820.25/99,022.25
6. Step 6: Final answer
   x = 429,401.43