Finding the Third Proportional to 142,789.50 and 200,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,789.50 : 200,812.50 = 200,812.50 : x
2. Step 2: Convert to fraction form
   142,789.50/200,812.50 = 200,812.50/x
3. Step 3: Cross multiply
   142,789.50x = 200,812.50 × 200,812.50
4. Step 4: Simplify right side
   142,789.50x = 40,325,660,156.25
5. Step 5: Solve for x
   x = 40,325,660,156.25/142,789.50
6. Step 6: Final answer
   x = 282,413.34