Finding the Third Proportional to 113.27 and 174.40

Step by Step Solution

1. Step 1: Write the proportion equation
   113.27 : 174.40 = 174.40 : x
2. Step 2: Convert to fraction form
   113.27/174.40 = 174.40/x
3. Step 3: Cross multiply
   113.27x = 174.40 × 174.40
4. Step 4: Simplify right side
   113.27x = 30,414.82
5. Step 5: Solve for x
   x = 30,414.82/113.27
6. Step 6: Final answer
   x = 268.53