Finding the Third Proportional to 80,757 and 113,165

Step by Step Solution

1. Step 1: Write the proportion equation
   80,757 : 113,165 = 113,165 : x
2. Step 2: Convert to fraction form
   80,757/113,165 = 113,165/x
3. Step 3: Cross multiply
   80,757x = 113,165 × 113,165
4. Step 4: Simplify right side
   80,757x = 12,806,317,225
5. Step 5: Solve for x
   x = 12,806,317,225/80,757
6. Step 6: Final answer
   x = 158,578.42