Finding the Third Proportional to 142,466.50 and 221,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,466.50 : 221,470.75 = 221,470.75 : x
2. Step 2: Convert to fraction form
   142,466.50/221,470.75 = 221,470.75/x
3. Step 3: Cross multiply
   142,466.50x = 221,470.75 × 221,470.75
4. Step 4: Simplify right side
   142,466.50x = 49,049,293,105.56
5. Step 5: Solve for x
   x = 49,049,293,105.56/142,466.50
6. Step 6: Final answer
   x = 344,286.50