Finding the Third Proportional to 85.38 and 150.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85.38 : 150.88 = 150.88 : x
2. Step 2: Convert to fraction form
   85.38/150.88 = 150.88/x
3. Step 3: Cross multiply
   85.38x = 150.88 × 150.88
4. Step 4: Simplify right side
   85.38x = 22,763.27
5. Step 5: Solve for x
   x = 22,763.27/85.38
6. Step 6: Final answer
   x = 266.63