Finding the Third Proportional to 113.50 and 150.88

Step by Step Solution

1. Step 1: Write the proportion equation
   113.50 : 150.88 = 150.88 : x
2. Step 2: Convert to fraction form
   113.50/150.88 = 150.88/x
3. Step 3: Cross multiply
   113.50x = 150.88 × 150.88
4. Step 4: Simplify right side
   113.50x = 22,763.27
5. Step 5: Solve for x
   x = 22,763.27/113.50
6. Step 6: Final answer
   x = 200.56