Finding the Third Proportional to 200,801 and 322,849

Step by Step Solution

1. Step 1: Write the proportion equation
   200,801 : 322,849 = 322,849 : x
2. Step 2: Convert to fraction form
   200,801/322,849 = 322,849/x
3. Step 3: Cross multiply
   200,801x = 322,849 × 322,849
4. Step 4: Simplify right side
   200,801x = 104,231,476,801
5. Step 5: Solve for x
   x = 104,231,476,801/200,801
6. Step 6: Final answer
   x = 519,078.47