Finding the Third Proportional to 174.18 and 265.54

Step by Step Solution

1. Step 1: Write the proportion equation
   174.18 : 265.54 = 265.54 : x
2. Step 2: Convert to fraction form
   174.18/265.54 = 265.54/x
3. Step 3: Cross multiply
   174.18x = 265.54 × 265.54
4. Step 4: Simplify right side
   174.18x = 70,513.59
5. Step 5: Solve for x
   x = 70,513.59/174.18
6. Step 6: Final answer
   x = 404.83