Finding the Third Proportional to 54,287 and 111,206

Step by Step Solution

1. Step 1: Write the proportion equation
   54,287 : 111,206 = 111,206 : x
2. Step 2: Convert to fraction form
   54,287/111,206 = 111,206/x
3. Step 3: Cross multiply
   54,287x = 111,206 × 111,206
4. Step 4: Simplify right side
   54,287x = 12,366,774,436
5. Step 5: Solve for x
   x = 12,366,774,436/54,287
6. Step 6: Final answer
   x = 227,803.61