Finding the Third Proportional to 584,853 and 857,002

Step by Step Solution

1. Step 1: Write the proportion equation
   584,853 : 857,002 = 857,002 : x
2. Step 2: Convert to fraction form
   584,853/857,002 = 857,002/x
3. Step 3: Cross multiply
   584,853x = 857,002 × 857,002
4. Step 4: Simplify right side
   584,853x = 734,452,428,004
5. Step 5: Solve for x
   x = 734,452,428,004/584,853
6. Step 6: Final answer
   x = 1,255,789.79