Finding the Third Proportional to 487,609 and 647,002

Step by Step Solution

1. Step 1: Write the proportion equation
   487,609 : 647,002 = 647,002 : x
2. Step 2: Convert to fraction form
   487,609/647,002 = 647,002/x
3. Step 3: Cross multiply
   487,609x = 647,002 × 647,002
4. Step 4: Simplify right side
   487,609x = 418,611,588,004
5. Step 5: Solve for x
   x = 418,611,588,004/487,609
6. Step 6: Final answer
   x = 858,498.49