Finding the Third Proportional to 80,894 and 173,496

Step by Step Solution

1. Step 1: Write the proportion equation
   80,894 : 173,496 = 173,496 : x
2. Step 2: Convert to fraction form
   80,894/173,496 = 173,496/x
3. Step 3: Cross multiply
   80,894x = 173,496 × 173,496
4. Step 4: Simplify right side
   80,894x = 30,100,862,016
5. Step 5: Solve for x
   x = 30,100,862,016/80,894
6. Step 6: Final answer
   x = 372,102.53