Finding the Third Proportional to 78.31 and 118.89

Step by Step Solution

1. Step 1: Write the proportion equation
   78.31 : 118.89 = 118.89 : x
2. Step 2: Convert to fraction form
   78.31/118.89 = 118.89/x
3. Step 3: Cross multiply
   78.31x = 118.89 × 118.89
4. Step 4: Simplify right side
   78.31x = 14,134.75
5. Step 5: Solve for x
   x = 14,134.75/78.31
6. Step 6: Final answer
   x = 180.50