Finding the Third Proportional to 46,488 and 109,728

Step by Step Solution

1. Step 1: Write the proportion equation
   46,488 : 109,728 = 109,728 : x
2. Step 2: Convert to fraction form
   46,488/109,728 = 109,728/x
3. Step 3: Cross multiply
   46,488x = 109,728 × 109,728
4. Step 4: Simplify right side
   46,488x = 12,040,233,984
5. Step 5: Solve for x
   x = 12,040,233,984/46,488
6. Step 6: Final answer
   x = 258,996.60