Finding the Third Proportional to 105,148 and 227,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,148 : 227,144 = 227,144 : x
2. Step 2: Convert to fraction form
   105,148/227,144 = 227,144/x
3. Step 3: Cross multiply
   105,148x = 227,144 × 227,144
4. Step 4: Simplify right side
   105,148x = 51,594,396,736
5. Step 5: Solve for x
   x = 51,594,396,736/105,148
6. Step 6: Final answer
   x = 490,683.58