Finding the Third Proportional to 132.89 and 195.54

Step by Step Solution

1. Step 1: Write the proportion equation
   132.89 : 195.54 = 195.54 : x
2. Step 2: Convert to fraction form
   132.89/195.54 = 195.54/x
3. Step 3: Cross multiply
   132.89x = 195.54 × 195.54
4. Step 4: Simplify right side
   132.89x = 38,235.52
5. Step 5: Solve for x
   x = 38,235.52/132.89
6. Step 6: Final answer
   x = 287.72