Finding the Third Proportional to 105,155 and 227,797

Step by Step Solution

1. Step 1: Write the proportion equation
   105,155 : 227,797 = 227,797 : x
2. Step 2: Convert to fraction form
   105,155/227,797 = 227,797/x
3. Step 3: Cross multiply
   105,155x = 227,797 × 227,797
4. Step 4: Simplify right side
   105,155x = 51,891,473,209
5. Step 5: Solve for x
   x = 51,891,473,209/105,155
6. Step 6: Final answer
   x = 493,476.04