Finding the Third Proportional to 142,781 and 200,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,781 : 200,563.50 = 200,563.50 : x
2. Step 2: Convert to fraction form
   142,781/200,563.50 = 200,563.50/x
3. Step 3: Cross multiply
   142,781x = 200,563.50 × 200,563.50
4. Step 4: Simplify right side
   142,781x = 40,225,717,532.25
5. Step 5: Solve for x
   x = 40,225,717,532.25/142,781
6. Step 6: Final answer
   x = 281,730.18