Finding the Third Proportional to 132.89 and 178.59

Step by Step Solution

1. Step 1: Write the proportion equation
   132.89 : 178.59 = 178.59 : x
2. Step 2: Convert to fraction form
   132.89/178.59 = 178.59/x
3. Step 3: Cross multiply
   132.89x = 178.59 × 178.59
4. Step 4: Simplify right side
   132.89x = 31,895.73
5. Step 5: Solve for x
   x = 31,895.73/132.89
6. Step 6: Final answer
   x = 240.01