Finding the Third Proportional to 404,802 and 643,384

Step by Step Solution

1. Step 1: Write the proportion equation
   404,802 : 643,384 = 643,384 : x
2. Step 2: Convert to fraction form
   404,802/643,384 = 643,384/x
3. Step 3: Cross multiply
   404,802x = 643,384 × 643,384
4. Step 4: Simplify right side
   404,802x = 413,942,971,456
5. Step 5: Solve for x
   x = 413,942,971,456/404,802
6. Step 6: Final answer
   x = 1,022,581.34