Finding the Third Proportional to 85.50 and 133.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 133.88 = 133.88 : x
2. Step 2: Convert to fraction form
   85.50/133.88 = 133.88/x
3. Step 3: Cross multiply
   85.50x = 133.88 × 133.88
4. Step 4: Simplify right side
   85.50x = 17,922.52
5. Step 5: Solve for x
   x = 17,922.52/85.50
6. Step 6: Final answer
   x = 209.62