Finding the Third Proportional to 393,986 and 577,002

Step by Step Solution

1. Step 1: Write the proportion equation
   393,986 : 577,002 = 577,002 : x
2. Step 2: Convert to fraction form
   393,986/577,002 = 577,002/x
3. Step 3: Cross multiply
   393,986x = 577,002 × 577,002
4. Step 4: Simplify right side
   393,986x = 332,931,308,004
5. Step 5: Solve for x
   x = 332,931,308,004/393,986
6. Step 6: Final answer
   x = 845,033.35