Finding the Third Proportional to 105,906 and 227,168

Step by Step Solution

1. Step 1: Write the proportion equation
   105,906 : 227,168 = 227,168 : x
2. Step 2: Convert to fraction form
   105,906/227,168 = 227,168/x
3. Step 3: Cross multiply
   105,906x = 227,168 × 227,168
4. Step 4: Simplify right side
   105,906x = 51,605,300,224
5. Step 5: Solve for x
   x = 51,605,300,224/105,906
6. Step 6: Final answer
   x = 487,274.57