Finding the Third Proportional to 150,585.50 and 200,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,585.50 : 200,753.50 = 200,753.50 : x
2. Step 2: Convert to fraction form
   150,585.50/200,753.50 = 200,753.50/x
3. Step 3: Cross multiply
   150,585.50x = 200,753.50 × 200,753.50
4. Step 4: Simplify right side
   150,585.50x = 40,301,967,762.25
5. Step 5: Solve for x
   x = 40,301,967,762.25/150,585.50
6. Step 6: Final answer
   x = 267,635.12