Finding the Third Proportional to 404,972 and 643,628

Step by Step Solution

1. Step 1: Write the proportion equation
   404,972 : 643,628 = 643,628 : x
2. Step 2: Convert to fraction form
   404,972/643,628 = 643,628/x
3. Step 3: Cross multiply
   404,972x = 643,628 × 643,628
4. Step 4: Simplify right side
   404,972x = 414,257,002,384
5. Step 5: Solve for x
   x = 414,257,002,384/404,972
6. Step 6: Final answer
   x = 1,022,927.52