Finding the Third Proportional to 114.69 and 171.47

Step by Step Solution

1. Step 1: Write the proportion equation
   114.69 : 171.47 = 171.47 : x
2. Step 2: Convert to fraction form
   114.69/171.47 = 171.47/x
3. Step 3: Cross multiply
   114.69x = 171.47 × 171.47
4. Step 4: Simplify right side
   114.69x = 29,401.53
5. Step 5: Solve for x
   x = 29,401.53/114.69
6. Step 6: Final answer
   x = 256.36