Finding the Third Proportional to 76.89 and 113.43

Step by Step Solution

1. Step 1: Write the proportion equation
   76.89 : 113.43 = 113.43 : x
2. Step 2: Convert to fraction form
   76.89/113.43 = 113.43/x
3. Step 3: Cross multiply
   76.89x = 113.43 × 113.43
4. Step 4: Simplify right side
   76.89x = 12,866.74
5. Step 5: Solve for x
   x = 12,866.74/76.89
6. Step 6: Final answer
   x = 167.35