Finding the Third Proportional to 309,474 and 677,997

Step by Step Solution

1. Step 1: Write the proportion equation
   309,474 : 677,997 = 677,997 : x
2. Step 2: Convert to fraction form
   309,474/677,997 = 677,997/x
3. Step 3: Cross multiply
   309,474x = 677,997 × 677,997
4. Step 4: Simplify right side
   309,474x = 459,679,932,009
5. Step 5: Solve for x
   x = 459,679,932,009/309,474
6. Step 6: Final answer
   x = 1,485,358.81