Finding the Third Proportional to 309,544.50 and 677,712

Step by Step Solution

1. Step 1: Write the proportion equation
   309,544.50 : 677,712 = 677,712 : x
2. Step 2: Convert to fraction form
   309,544.50/677,712 = 677,712/x
3. Step 3: Cross multiply
   309,544.50x = 677,712 × 677,712
4. Step 4: Simplify right side
   309,544.50x = 459,293,554,944
5. Step 5: Solve for x
   x = 459,293,554,944/309,544.50
6. Step 6: Final answer
   x = 1,483,772.30