Finding the Third Proportional to 76.89 and 114.86

Step by Step Solution

1. Step 1: Write the proportion equation
   76.89 : 114.86 = 114.86 : x
2. Step 2: Convert to fraction form
   76.89/114.86 = 114.86/x
3. Step 3: Cross multiply
   76.89x = 114.86 × 114.86
4. Step 4: Simplify right side
   76.89x = 13,191.78
5. Step 5: Solve for x
   x = 13,191.78/76.89
6. Step 6: Final answer
   x = 171.57