Finding the Third Proportional to 118.83 and 174.14

Step by Step Solution

1. Step 1: Write the proportion equation
   118.83 : 174.14 = 174.14 : x
2. Step 2: Convert to fraction form
   118.83/174.14 = 174.14/x
3. Step 3: Cross multiply
   118.83x = 174.14 × 174.14
4. Step 4: Simplify right side
   118.83x = 30,324.96
5. Step 5: Solve for x
   x = 30,324.96/118.83
6. Step 6: Final answer
   x = 255.20