Finding the Third Proportional to 280,496 and 617,074

Step by Step Solution

1. Step 1: Write the proportion equation
   280,496 : 617,074 = 617,074 : x
2. Step 2: Convert to fraction form
   280,496/617,074 = 617,074/x
3. Step 3: Cross multiply
   280,496x = 617,074 × 617,074
4. Step 4: Simplify right side
   280,496x = 380,780,321,476
5. Step 5: Solve for x
   x = 380,780,321,476/280,496
6. Step 6: Final answer
   x = 1,357,524.96