Finding the Third Proportional to 54,462 and 111,228

Step by Step Solution

1. Step 1: Write the proportion equation
   54,462 : 111,228 = 111,228 : x
2. Step 2: Convert to fraction form
   54,462/111,228 = 111,228/x
3. Step 3: Cross multiply
   54,462x = 111,228 × 111,228
4. Step 4: Simplify right side
   54,462x = 12,371,667,984
5. Step 5: Solve for x
   x = 12,371,667,984/54,462
6. Step 6: Final answer
   x = 227,161.47