Finding the Third Proportional to 300,826 and 451,298

Step by Step Solution

1. Step 1: Write the proportion equation
   300,826 : 451,298 = 451,298 : x
2. Step 2: Convert to fraction form
   300,826/451,298 = 451,298/x
3. Step 3: Cross multiply
   300,826x = 451,298 × 451,298
4. Step 4: Simplify right side
   300,826x = 203,669,884,804
5. Step 5: Solve for x
   x = 203,669,884,804/300,826
6. Step 6: Final answer
   x = 677,035.51