Finding the Third Proportional to 80,592 and 113,292

Step by Step Solution

1. Step 1: Write the proportion equation
   80,592 : 113,292 = 113,292 : x
2. Step 2: Convert to fraction form
   80,592/113,292 = 113,292/x
3. Step 3: Cross multiply
   80,592x = 113,292 × 113,292
4. Step 4: Simplify right side
   80,592x = 12,835,077,264
5. Step 5: Solve for x
   x = 12,835,077,264/80,592
6. Step 6: Final answer
   x = 159,259.94