Finding the Third Proportional to 80,613 and 175,563

Step by Step Solution

1. Step 1: Write the proportion equation
   80,613 : 175,563 = 175,563 : x
2. Step 2: Convert to fraction form
   80,613/175,563 = 175,563/x
3. Step 3: Cross multiply
   80,613x = 175,563 × 175,563
4. Step 4: Simplify right side
   80,613x = 30,822,366,969
5. Step 5: Solve for x
   x = 30,822,366,969/80,613
6. Step 6: Final answer
   x = 382,349.83