Finding the Third Proportional to 402,204 and 794,256

Step by Step Solution

1. Step 1: Write the proportion equation
   402,204 : 794,256 = 794,256 : x
2. Step 2: Convert to fraction form
   402,204/794,256 = 794,256/x
3. Step 3: Cross multiply
   402,204x = 794,256 × 794,256
4. Step 4: Simplify right side
   402,204x = 630,842,593,536
5. Step 5: Solve for x
   x = 630,842,593,536/402,204
6. Step 6: Final answer
   x = 1,568,464.25