Finding the Third Proportional to 80,892 and 173,492

Step by Step Solution

1. Step 1: Write the proportion equation
   80,892 : 173,492 = 173,492 : x
2. Step 2: Convert to fraction form
   80,892/173,492 = 173,492/x
3. Step 3: Cross multiply
   80,892x = 173,492 × 173,492
4. Step 4: Simplify right side
   80,892x = 30,099,474,064
5. Step 5: Solve for x
   x = 30,099,474,064/80,892
6. Step 6: Final answer
   x = 372,094.57