Finding the Third Proportional to 314,436.38 and 678,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   314,436.38 : 678,665.25 = 678,665.25 : x
2. Step 2: Convert to fraction form
   314,436.38/678,665.25 = 678,665.25/x
3. Step 3: Cross multiply
   314,436.38x = 678,665.25 × 678,665.25
4. Step 4: Simplify right side
   314,436.38x = 460,586,521,557.56
5. Step 5: Solve for x
   x = 460,586,521,557.56/314,436.38
6. Step 6: Final answer
   x = 1,464,800.38