Finding the Third Proportional to 320,638.50 and 677,484

Step by Step Solution

1. Step 1: Write the proportion equation
   320,638.50 : 677,484 = 677,484 : x
2. Step 2: Convert to fraction form
   320,638.50/677,484 = 677,484/x
3. Step 3: Cross multiply
   320,638.50x = 677,484 × 677,484
4. Step 4: Simplify right side
   320,638.50x = 458,984,570,256
5. Step 5: Solve for x
   x = 458,984,570,256/320,638.50
6. Step 6: Final answer
   x = 1,431,470.55