Finding the Third Proportional to 76.59 and 113.39

Step by Step Solution

1. Step 1: Write the proportion equation
   76.59 : 113.39 = 113.39 : x
2. Step 2: Convert to fraction form
   76.59/113.39 = 113.39/x
3. Step 3: Cross multiply
   76.59x = 113.39 × 113.39
4. Step 4: Simplify right side
   76.59x = 12,857.43
5. Step 5: Solve for x
   x = 12,857.43/76.59
6. Step 6: Final answer
   x = 167.87