Finding the Third Proportional to 78.89 and 114.96

Step by Step Solution

1. Step 1: Write the proportion equation
   78.89 : 114.96 = 114.96 : x
2. Step 2: Convert to fraction form
   78.89/114.96 = 114.96/x
3. Step 3: Cross multiply
   78.89x = 114.96 × 114.96
4. Step 4: Simplify right side
   78.89x = 13,216.02
5. Step 5: Solve for x
   x = 13,216.02/78.89
6. Step 6: Final answer
   x = 167.52