Finding the Third Proportional to 298,893 and 647,580

Step by Step Solution

1. Step 1: Write the proportion equation
   298,893 : 647,580 = 647,580 : x
2. Step 2: Convert to fraction form
   298,893/647,580 = 647,580/x
3. Step 3: Cross multiply
   298,893x = 647,580 × 647,580
4. Step 4: Simplify right side
   298,893x = 419,359,856,400
5. Step 5: Solve for x
   x = 419,359,856,400/298,893
6. Step 6: Final answer
   x = 1,403,043.42