Finding the Third Proportional to 294,717 and 643,404

Step by Step Solution

1. Step 1: Write the proportion equation
   294,717 : 643,404 = 643,404 : x
2. Step 2: Convert to fraction form
   294,717/643,404 = 643,404/x
3. Step 3: Cross multiply
   294,717x = 643,404 × 643,404
4. Step 4: Simplify right side
   294,717x = 413,968,707,216
5. Step 5: Solve for x
   x = 413,968,707,216/294,717
6. Step 6: Final answer
   x = 1,404,631.25