Finding the Third Proportional to 54,960 and 111,840

Step by Step Solution

1. Step 1: Write the proportion equation
   54,960 : 111,840 = 111,840 : x
2. Step 2: Convert to fraction form
   54,960/111,840 = 111,840/x
3. Step 3: Cross multiply
   54,960x = 111,840 × 111,840
4. Step 4: Simplify right side
   54,960x = 12,508,185,600
5. Step 5: Solve for x
   x = 12,508,185,600/54,960
6. Step 6: Final answer
   x = 227,587.07