Finding the Third Proportional to 54,238 and 111,120

Step by Step Solution

1. Step 1: Write the proportion equation
   54,238 : 111,120 = 111,120 : x
2. Step 2: Convert to fraction form
   54,238/111,120 = 111,120/x
3. Step 3: Cross multiply
   54,238x = 111,120 × 111,120
4. Step 4: Simplify right side
   54,238x = 12,347,654,400
5. Step 5: Solve for x
   x = 12,347,654,400/54,238
6. Step 6: Final answer
   x = 227,656.89