Finding the Third Proportional to 313,142 and 698,002

Step by Step Solution

1. Step 1: Write the proportion equation
   313,142 : 698,002 = 698,002 : x
2. Step 2: Convert to fraction form
   313,142/698,002 = 698,002/x
3. Step 3: Cross multiply
   313,142x = 698,002 × 698,002
4. Step 4: Simplify right side
   313,142x = 487,206,792,004
5. Step 5: Solve for x
   x = 487,206,792,004/313,142
6. Step 6: Final answer
   x = 1,555,865.36