Finding the Third Proportional to 80,834 and 175,492

Step by Step Solution

1. Step 1: Write the proportion equation
   80,834 : 175,492 = 175,492 : x
2. Step 2: Convert to fraction form
   80,834/175,492 = 175,492/x
3. Step 3: Cross multiply
   80,834x = 175,492 × 175,492
4. Step 4: Simplify right side
   80,834x = 30,797,442,064
5. Step 5: Solve for x
   x = 30,797,442,064/80,834
6. Step 6: Final answer
   x = 380,996.14