Finding the Third Proportional to 298,020 and 646,499

Step by Step Solution

1. Step 1: Write the proportion equation
   298,020 : 646,499 = 646,499 : x
2. Step 2: Convert to fraction form
   298,020/646,499 = 646,499/x
3. Step 3: Cross multiply
   298,020x = 646,499 × 646,499
4. Step 4: Simplify right side
   298,020x = 417,960,957,001
5. Step 5: Solve for x
   x = 417,960,957,001/298,020
6. Step 6: Final answer
   x = 1,402,459.42