Finding the Third Proportional to 86.50 and 132.94

Step by Step Solution

1. Step 1: Write the proportion equation
   86.50 : 132.94 = 132.94 : x
2. Step 2: Convert to fraction form
   86.50/132.94 = 132.94/x
3. Step 3: Cross multiply
   86.50x = 132.94 × 132.94
4. Step 4: Simplify right side
   86.50x = 17,672.38
5. Step 5: Solve for x
   x = 17,672.38/86.50
6. Step 6: Final answer
   x = 204.30