Finding the Third Proportional to 310,614 and 677,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   310,614 : 677,456.25 = 677,456.25 : x
2. Step 2: Convert to fraction form
   310,614/677,456.25 = 677,456.25/x
3. Step 3: Cross multiply
   310,614x = 677,456.25 × 677,456.25
4. Step 4: Simplify right side
   310,614x = 458,946,970,664.06
5. Step 5: Solve for x
   x = 458,946,970,664.06/310,614
6. Step 6: Final answer
   x = 1,477,547.60