Finding the Third Proportional to 80,266 and 175,757

Step by Step Solution

1. Step 1: Write the proportion equation
   80,266 : 175,757 = 175,757 : x
2. Step 2: Convert to fraction form
   80,266/175,757 = 175,757/x
3. Step 3: Cross multiply
   80,266x = 175,757 × 175,757
4. Step 4: Simplify right side
   80,266x = 30,890,523,049
5. Step 5: Solve for x
   x = 30,890,523,049/80,266
6. Step 6: Final answer
   x = 384,851.91