Finding the Third Proportional to 99,724.50 and 142,023.38

Step by Step Solution

1. Step 1: Write the proportion equation
   99,724.50 : 142,023.38 = 142,023.38 : x
2. Step 2: Convert to fraction form
   99,724.50/142,023.38 = 142,023.38/x
3. Step 3: Cross multiply
   99,724.50x = 142,023.38 × 142,023.38
4. Step 4: Simplify right side
   99,724.50x = 20,170,639,046.39
5. Step 5: Solve for x
   x = 20,170,639,046.39/99,724.50
6. Step 6: Final answer
   x = 202,263.63