Finding the Third Proportional to 85.50 and 108.56

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 108.56 = 108.56 : x
2. Step 2: Convert to fraction form
   85.50/108.56 = 108.56/x
3. Step 3: Cross multiply
   85.50x = 108.56 × 108.56
4. Step 4: Simplify right side
   85.50x = 11,785.82
5. Step 5: Solve for x
   x = 11,785.82/85.50
6. Step 6: Final answer
   x = 137.85