Finding the Third Proportional to 80,874 and 175,491

Step by Step Solution

1. Step 1: Write the proportion equation
   80,874 : 175,491 = 175,491 : x
2. Step 2: Convert to fraction form
   80,874/175,491 = 175,491/x
3. Step 3: Cross multiply
   80,874x = 175,491 × 175,491
4. Step 4: Simplify right side
   80,874x = 30,797,091,081
5. Step 5: Solve for x
   x = 30,797,091,081/80,874
6. Step 6: Final answer
   x = 380,803.36