Finding the Third Proportional to 78.79 and 118.65

Step by Step Solution

1. Step 1: Write the proportion equation
   78.79 : 118.65 = 118.65 : x
2. Step 2: Convert to fraction form
   78.79/118.65 = 118.65/x
3. Step 3: Cross multiply
   78.79x = 118.65 × 118.65
4. Step 4: Simplify right side
   78.79x = 14,078.38
5. Step 5: Solve for x
   x = 14,078.38/78.79
6. Step 6: Final answer
   x = 178.69