Finding the Third Proportional to 105,896 and 227,148

Step by Step Solution

1. Step 1: Write the proportion equation
   105,896 : 227,148 = 227,148 : x
2. Step 2: Convert to fraction form
   105,896/227,148 = 227,148/x
3. Step 3: Cross multiply
   105,896x = 227,148 × 227,148
4. Step 4: Simplify right side
   105,896x = 51,596,213,904
5. Step 5: Solve for x
   x = 51,596,213,904/105,896
6. Step 6: Final answer
   x = 487,234.78