Finding the Third Proportional to 105,857 and 227,063

Step by Step Solution

1. Step 1: Write the proportion equation
   105,857 : 227,063 = 227,063 : x
2. Step 2: Convert to fraction form
   105,857/227,063 = 227,063/x
3. Step 3: Cross multiply
   105,857x = 227,063 × 227,063
4. Step 4: Simplify right side
   105,857x = 51,557,605,969
5. Step 5: Solve for x
   x = 51,557,605,969/105,857
6. Step 6: Final answer
   x = 487,049.57