Finding the Third Proportional to 174.66 and 298.27

Step by Step Solution

1. Step 1: Write the proportion equation
   174.66 : 298.27 = 298.27 : x
2. Step 2: Convert to fraction form
   174.66/298.27 = 298.27/x
3. Step 3: Cross multiply
   174.66x = 298.27 × 298.27
4. Step 4: Simplify right side
   174.66x = 88,962.38
5. Step 5: Solve for x
   x = 88,962.38/174.66
6. Step 6: Final answer
   x = 509.36