Finding the Third Proportional to 114.88 and 175.38

Step by Step Solution

1. Step 1: Write the proportion equation
   114.88 : 175.38 = 175.38 : x
2. Step 2: Convert to fraction form
   114.88/175.38 = 175.38/x
3. Step 3: Cross multiply
   114.88x = 175.38 × 175.38
4. Step 4: Simplify right side
   114.88x = 30,756.39
5. Step 5: Solve for x
   x = 30,756.39/114.88
6. Step 6: Final answer
   x = 267.74