Finding the Third Proportional to 487,614 and 647,012

Step by Step Solution

1. Step 1: Write the proportion equation
   487,614 : 647,012 = 647,012 : x
2. Step 2: Convert to fraction form
   487,614/647,012 = 647,012/x
3. Step 3: Cross multiply
   487,614x = 647,012 × 647,012
4. Step 4: Simplify right side
   487,614x = 418,624,528,144
5. Step 5: Solve for x
   x = 418,624,528,144/487,614
6. Step 6: Final answer
   x = 858,516.22