Finding the Third Proportional to 78.89 and 118.55

Step by Step Solution

1. Step 1: Write the proportion equation
   78.89 : 118.55 = 118.55 : x
2. Step 2: Convert to fraction form
   78.89/118.55 = 118.55/x
3. Step 3: Cross multiply
   78.89x = 118.55 × 118.55
4. Step 4: Simplify right side
   78.89x = 14,053.36
5. Step 5: Solve for x
   x = 14,053.36/78.89
6. Step 6: Final answer
   x = 178.14