Finding the Third Proportional to 433,004 and 647,746

Step by Step Solution

1. Step 1: Write the proportion equation
   433,004 : 647,746 = 647,746 : x
2. Step 2: Convert to fraction form
   433,004/647,746 = 647,746/x
3. Step 3: Cross multiply
   433,004x = 647,746 × 647,746
4. Step 4: Simplify right side
   433,004x = 419,574,880,516
5. Step 5: Solve for x
   x = 419,574,880,516/433,004
6. Step 6: Final answer
   x = 968,986.15