Finding the Third Proportional to 114.97 and 173.48

Step by Step Solution

1. Step 1: Write the proportion equation
   114.97 : 173.48 = 173.48 : x
2. Step 2: Convert to fraction form
   114.97/173.48 = 173.48/x
3. Step 3: Cross multiply
   114.97x = 173.48 × 173.48
4. Step 4: Simplify right side
   114.97x = 30,096.83
5. Step 5: Solve for x
   x = 30,096.83/114.97
6. Step 6: Final answer
   x = 261.78