Finding the Third Proportional to 114.17 and 172.71

Step by Step Solution

1. Step 1: Write the proportion equation
   114.17 : 172.71 = 172.71 : x
2. Step 2: Convert to fraction form
   114.17/172.71 = 172.71/x
3. Step 3: Cross multiply
   114.17x = 172.71 × 172.71
4. Step 4: Simplify right side
   114.17x = 29,827.04
5. Step 5: Solve for x
   x = 29,827.04/114.17
6. Step 6: Final answer
   x = 261.25