Finding the Third Proportional to 142,957.50 and 200,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,957.50 : 200,827.50 = 200,827.50 : x
2. Step 2: Convert to fraction form
   142,957.50/200,827.50 = 200,827.50/x
3. Step 3: Cross multiply
   142,957.50x = 200,827.50 × 200,827.50
4. Step 4: Simplify right side
   142,957.50x = 40,331,684,756.25
5. Step 5: Solve for x
   x = 40,331,684,756.25/142,957.50
6. Step 6: Final answer
   x = 282,123.60