Finding the Third Proportional to 96,209.50 and 206,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,209.50 : 206,429.50 = 206,429.50 : x
2. Step 2: Convert to fraction form
   96,209.50/206,429.50 = 206,429.50/x
3. Step 3: Cross multiply
   96,209.50x = 206,429.50 × 206,429.50
4. Step 4: Simplify right side
   96,209.50x = 42,613,138,470.25
5. Step 5: Solve for x
   x = 42,613,138,470.25/96,209.50
6. Step 6: Final answer
   x = 442,920.28