Finding the Third Proportional to 80,559 and 172,782

Step by Step Solution

1. Step 1: Write the proportion equation
   80,559 : 172,782 = 172,782 : x
2. Step 2: Convert to fraction form
   80,559/172,782 = 172,782/x
3. Step 3: Cross multiply
   80,559x = 172,782 × 172,782
4. Step 4: Simplify right side
   80,559x = 29,853,619,524
5. Step 5: Solve for x
   x = 29,853,619,524/80,559
6. Step 6: Final answer
   x = 370,580.81