Finding the Third Proportional to 80,826 and 175,644

Step by Step Solution

1. Step 1: Write the proportion equation
   80,826 : 175,644 = 175,644 : x
2. Step 2: Convert to fraction form
   80,826/175,644 = 175,644/x
3. Step 3: Cross multiply
   80,826x = 175,644 × 175,644
4. Step 4: Simplify right side
   80,826x = 30,850,814,736
5. Step 5: Solve for x
   x = 30,850,814,736/80,826
6. Step 6: Final answer
   x = 381,694.19