Finding the Third Proportional to 678,264 and 1,461,504

Step by Step Solution

1. Step 1: Write the proportion equation
   678,264 : 1,461,504 = 1,461,504 : x
2. Step 2: Convert to fraction form
   678,264/1,461,504 = 1,461,504/x
3. Step 3: Cross multiply
   678,264x = 1,461,504 × 1,461,504
4. Step 4: Simplify right side
   678,264x = 2,135,993,942,016
5. Step 5: Solve for x
   x = 2,135,993,942,016/678,264
6. Step 6: Final answer
   x = 3,149,207.30