Finding the Third Proportional to 174.30 and 232.52

Step by Step Solution

1. Step 1: Write the proportion equation
   174.30 : 232.52 = 232.52 : x
2. Step 2: Convert to fraction form
   174.30/232.52 = 232.52/x
3. Step 3: Cross multiply
   174.30x = 232.52 × 232.52
4. Step 4: Simplify right side
   174.30x = 54,067.15
5. Step 5: Solve for x
   x = 54,067.15/174.30
6. Step 6: Final answer
   x = 310.19