Finding the Third Proportional to 404,786 and 643,359

Step by Step Solution

1. Step 1: Write the proportion equation
   404,786 : 643,359 = 643,359 : x
2. Step 2: Convert to fraction form
   404,786/643,359 = 643,359/x
3. Step 3: Cross multiply
   404,786x = 643,359 × 643,359
4. Step 4: Simplify right side
   404,786x = 413,910,802,881
5. Step 5: Solve for x
   x = 413,910,802,881/404,786
6. Step 6: Final answer
   x = 1,022,542.29