Finding the Third Proportional to 174.15 and 255.04

Step by Step Solution

1. Step 1: Write the proportion equation
   174.15 : 255.04 = 255.04 : x
2. Step 2: Convert to fraction form
   174.15/255.04 = 255.04/x
3. Step 3: Cross multiply
   174.15x = 255.04 × 255.04
4. Step 4: Simplify right side
   174.15x = 65,047.04
5. Step 5: Solve for x
   x = 65,047.04/174.15
6. Step 6: Final answer
   x = 373.51