Finding the Third Proportional to 352,804 and 530,002

Step by Step Solution

1. Step 1: Write the proportion equation
   352,804 : 530,002 = 530,002 : x
2. Step 2: Convert to fraction form
   352,804/530,002 = 530,002/x
3. Step 3: Cross multiply
   352,804x = 530,002 × 530,002
4. Step 4: Simplify right side
   352,804x = 280,902,120,004
5. Step 5: Solve for x
   x = 280,902,120,004/352,804
6. Step 6: Final answer
   x = 796,198.80