Finding the Third Proportional to 298,814 and 647,412

Step by Step Solution

1. Step 1: Write the proportion equation
   298,814 : 647,412 = 647,412 : x
2. Step 2: Convert to fraction form
   298,814/647,412 = 647,412/x
3. Step 3: Cross multiply
   298,814x = 647,412 × 647,412
4. Step 4: Simplify right side
   298,814x = 419,142,297,744
5. Step 5: Solve for x
   x = 419,142,297,744/298,814
6. Step 6: Final answer
   x = 1,402,686.28