Finding the Third Proportional to 398,430 and 592,002

Step by Step Solution

1. Step 1: Write the proportion equation
   398,430 : 592,002 = 592,002 : x
2. Step 2: Convert to fraction form
   398,430/592,002 = 592,002/x
3. Step 3: Cross multiply
   398,430x = 592,002 × 592,002
4. Step 4: Simplify right side
   398,430x = 350,466,368,004
5. Step 5: Solve for x
   x = 350,466,368,004/398,430
6. Step 6: Final answer
   x = 879,618.42