Finding the Third Proportional to 105,159 and 227,805

Step by Step Solution

1. Step 1: Write the proportion equation
   105,159 : 227,805 = 227,805 : x
2. Step 2: Convert to fraction form
   105,159/227,805 = 227,805/x
3. Step 3: Cross multiply
   105,159x = 227,805 × 227,805
4. Step 4: Simplify right side
   105,159x = 51,895,118,025
5. Step 5: Solve for x
   x = 51,895,118,025/105,159
6. Step 6: Final answer
   x = 493,491.93