Finding the Third Proportional to 80,612 and 113,320

Step by Step Solution

1. Step 1: Write the proportion equation
   80,612 : 113,320 = 113,320 : x
2. Step 2: Convert to fraction form
   80,612/113,320 = 113,320/x
3. Step 3: Cross multiply
   80,612x = 113,320 × 113,320
4. Step 4: Simplify right side
   80,612x = 12,841,422,400
5. Step 5: Solve for x
   x = 12,841,422,400/80,612
6. Step 6: Final answer
   x = 159,299.14