Finding the Third Proportional to 78.13 and 118.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78.13 : 118.31 = 118.31 : x
2. Step 2: Convert to fraction form
   78.13/118.31 = 118.31/x
3. Step 3: Cross multiply
   78.13x = 118.31 × 118.31
4. Step 4: Simplify right side
   78.13x = 13,997.85
5. Step 5: Solve for x
   x = 13,997.85/78.13
6. Step 6: Final answer
   x = 179.17