Finding the Third Proportional to 80,821 and 175,884

Step by Step Solution

1. Step 1: Write the proportion equation
   80,821 : 175,884 = 175,884 : x
2. Step 2: Convert to fraction form
   80,821/175,884 = 175,884/x
3. Step 3: Cross multiply
   80,821x = 175,884 × 175,884
4. Step 4: Simplify right side
   80,821x = 30,935,181,456
5. Step 5: Solve for x
   x = 30,935,181,456/80,821
6. Step 6: Final answer
   x = 382,761.68