Finding the Third Proportional to 146,040 and 315,384

Step by Step Solution

1. Step 1: Write the proportion equation
   146,040 : 315,384 = 315,384 : x
2. Step 2: Convert to fraction form
   146,040/315,384 = 315,384/x
3. Step 3: Cross multiply
   146,040x = 315,384 × 315,384
4. Step 4: Simplify right side
   146,040x = 99,467,067,456
5. Step 5: Solve for x
   x = 99,467,067,456/146,040
6. Step 6: Final answer
   x = 681,094.68