Finding the Third Proportional to 282,820 and 409,002

Step by Step Solution

1. Step 1: Write the proportion equation
   282,820 : 409,002 = 409,002 : x
2. Step 2: Convert to fraction form
   282,820/409,002 = 409,002/x
3. Step 3: Cross multiply
   282,820x = 409,002 × 409,002
4. Step 4: Simplify right side
   282,820x = 167,282,636,004
5. Step 5: Solve for x
   x = 167,282,636,004/282,820
6. Step 6: Final answer
   x = 591,480.93