Finding the Third Proportional to 142,569 and 221,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,569 : 221,737.50 = 221,737.50 : x
2. Step 2: Convert to fraction form
   142,569/221,737.50 = 221,737.50/x
3. Step 3: Cross multiply
   142,569x = 221,737.50 × 221,737.50
4. Step 4: Simplify right side
   142,569x = 49,167,518,906.25
5. Step 5: Solve for x
   x = 49,167,518,906.25/142,569
6. Step 6: Final answer
   x = 344,868.23