Finding the Third Proportional to 99,024.50 and 206,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,024.50 : 206,208.50 = 206,208.50 : x
2. Step 2: Convert to fraction form
   99,024.50/206,208.50 = 206,208.50/x
3. Step 3: Cross multiply
   99,024.50x = 206,208.50 × 206,208.50
4. Step 4: Simplify right side
   99,024.50x = 42,521,945,472.25
5. Step 5: Solve for x
   x = 42,521,945,472.25/99,024.50
6. Step 6: Final answer
   x = 429,408.33