Finding the Third Proportional to 105,138 and 227,772

Step by Step Solution

1. Step 1: Write the proportion equation
   105,138 : 227,772 = 227,772 : x
2. Step 2: Convert to fraction form
   105,138/227,772 = 227,772/x
3. Step 3: Cross multiply
   105,138x = 227,772 × 227,772
4. Step 4: Simplify right side
   105,138x = 51,880,083,984
5. Step 5: Solve for x
   x = 51,880,083,984/105,138
6. Step 6: Final answer
   x = 493,447.51