Finding the Third Proportional to 114.28 and 174.28

Step by Step Solution

1. Step 1: Write the proportion equation
   114.28 : 174.28 = 174.28 : x
2. Step 2: Convert to fraction form
   114.28/174.28 = 174.28/x
3. Step 3: Cross multiply
   114.28x = 174.28 × 174.28
4. Step 4: Simplify right side
   114.28x = 30,373.95
5. Step 5: Solve for x
   x = 30,373.95/114.28
6. Step 6: Final answer
   x = 265.78