Finding the Third Proportional to 142,429 and 221,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,429 : 221,413.50 = 221,413.50 : x
2. Step 2: Convert to fraction form
   142,429/221,413.50 = 221,413.50/x
3. Step 3: Cross multiply
   142,429x = 221,413.50 × 221,413.50
4. Step 4: Simplify right side
   142,429x = 49,023,937,982.25
5. Step 5: Solve for x
   x = 49,023,937,982.25/142,429
6. Step 6: Final answer
   x = 344,199.13