Finding the Third Proportional to 314,327.25 and 678,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,327.25 : 678,469.50 = 678,469.50 : x
2. Step 2: Convert to fraction form
   314,327.25/678,469.50 = 678,469.50/x
3. Step 3: Cross multiply
   314,327.25x = 678,469.50 × 678,469.50
4. Step 4: Simplify right side
   314,327.25x = 460,320,862,430.25
5. Step 5: Solve for x
   x = 460,320,862,430.25/314,327.25
6. Step 6: Final answer
   x = 1,464,463.75