Finding the Third Proportional to 150,505.50 and 200,742

Step by Step Solution

1. Step 1: Write the proportion equation
   150,505.50 : 200,742 = 200,742 : x
2. Step 2: Convert to fraction form
   150,505.50/200,742 = 200,742/x
3. Step 3: Cross multiply
   150,505.50x = 200,742 × 200,742
4. Step 4: Simplify right side
   150,505.50x = 40,297,350,564
5. Step 5: Solve for x
   x = 40,297,350,564/150,505.50
6. Step 6: Final answer
   x = 267,746.70