Finding the Third Proportional to 80,734 and 175,998

Step by Step Solution

1. Step 1: Write the proportion equation
   80,734 : 175,998 = 175,998 : x
2. Step 2: Convert to fraction form
   80,734/175,998 = 175,998/x
3. Step 3: Cross multiply
   80,734x = 175,998 × 175,998
4. Step 4: Simplify right side
   80,734x = 30,975,296,004
5. Step 5: Solve for x
   x = 30,975,296,004/80,734
6. Step 6: Final answer
   x = 383,671.02