Finding the Third Proportional to 54,480 and 113,952

Step by Step Solution

1. Step 1: Write the proportion equation
   54,480 : 113,952 = 113,952 : x
2. Step 2: Convert to fraction form
   54,480/113,952 = 113,952/x
3. Step 3: Cross multiply
   54,480x = 113,952 × 113,952
4. Step 4: Simplify right side
   54,480x = 12,985,058,304
5. Step 5: Solve for x
   x = 12,985,058,304/54,480
6. Step 6: Final answer
   x = 238,345.42