Finding the Third Proportional to 313,874 and 403,002

Step by Step Solution

1. Step 1: Write the proportion equation
   313,874 : 403,002 = 403,002 : x
2. Step 2: Convert to fraction form
   313,874/403,002 = 403,002/x
3. Step 3: Cross multiply
   313,874x = 403,002 × 403,002
4. Step 4: Simplify right side
   313,874x = 162,410,612,004
5. Step 5: Solve for x
   x = 162,410,612,004/313,874
6. Step 6: Final answer
   x = 517,438.88