Finding the Third Proportional to 105,111 and 227,718

Step by Step Solution

1. Step 1: Write the proportion equation
   105,111 : 227,718 = 227,718 : x
2. Step 2: Convert to fraction form
   105,111/227,718 = 227,718/x
3. Step 3: Cross multiply
   105,111x = 227,718 × 227,718
4. Step 4: Simplify right side
   105,111x = 51,855,487,524
5. Step 5: Solve for x
   x = 51,855,487,524/105,111
6. Step 6: Final answer
   x = 493,340.25