Finding the Third Proportional to 80,488 and 175,934

Step by Step Solution

1. Step 1: Write the proportion equation
   80,488 : 175,934 = 175,934 : x
2. Step 2: Convert to fraction form
   80,488/175,934 = 175,934/x
3. Step 3: Cross multiply
   80,488x = 175,934 × 175,934
4. Step 4: Simplify right side
   80,488x = 30,952,772,356
5. Step 5: Solve for x
   x = 30,952,772,356/80,488
6. Step 6: Final answer
   x = 384,563.82