Finding the Third Proportional to 80,821 and 175,466

Step by Step Solution

1. Step 1: Write the proportion equation
   80,821 : 175,466 = 175,466 : x
2. Step 2: Convert to fraction form
   80,821/175,466 = 175,466/x
3. Step 3: Cross multiply
   80,821x = 175,466 × 175,466
4. Step 4: Simplify right side
   80,821x = 30,788,317,156
5. Step 5: Solve for x
   x = 30,788,317,156/80,821
6. Step 6: Final answer
   x = 380,944.52