Finding the Third Proportional to 280,052 and 425,256

Step by Step Solution

1. Step 1: Write the proportion equation
   280,052 : 425,256 = 425,256 : x
2. Step 2: Convert to fraction form
   280,052/425,256 = 425,256/x
3. Step 3: Cross multiply
   280,052x = 425,256 × 425,256
4. Step 4: Simplify right side
   280,052x = 180,842,665,536
5. Step 5: Solve for x
   x = 180,842,665,536/280,052
6. Step 6: Final answer
   x = 645,746.74