Finding the Third Proportional to 146,478 and 315,036

Step by Step Solution

1. Step 1: Write the proportion equation
   146,478 : 315,036 = 315,036 : x
2. Step 2: Convert to fraction form
   146,478/315,036 = 315,036/x
3. Step 3: Cross multiply
   146,478x = 315,036 × 315,036
4. Step 4: Simplify right side
   146,478x = 99,247,681,296
5. Step 5: Solve for x
   x = 99,247,681,296/146,478
6. Step 6: Final answer
   x = 677,560.33