Finding the Third Proportional to 80,685 and 175,770

Step by Step Solution

1. Step 1: Write the proportion equation
   80,685 : 175,770 = 175,770 : x
2. Step 2: Convert to fraction form
   80,685/175,770 = 175,770/x
3. Step 3: Cross multiply
   80,685x = 175,770 × 175,770
4. Step 4: Simplify right side
   80,685x = 30,895,092,900
5. Step 5: Solve for x
   x = 30,895,092,900/80,685
6. Step 6: Final answer
   x = 382,909.99