Finding the Third Proportional to 85.88 and 132.56

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 132.56 = 132.56 : x
2. Step 2: Convert to fraction form
   85.88/132.56 = 132.56/x
3. Step 3: Cross multiply
   85.88x = 132.56 × 132.56
4. Step 4: Simplify right side
   85.88x = 17,572.82
5. Step 5: Solve for x
   x = 17,572.82/85.88
6. Step 6: Final answer
   x = 204.63