Finding the Third Proportional to 105,399 and 227,622

Step by Step Solution

1. Step 1: Write the proportion equation
   105,399 : 227,622 = 227,622 : x
2. Step 2: Convert to fraction form
   105,399/227,622 = 227,622/x
3. Step 3: Cross multiply
   105,399x = 227,622 × 227,622
4. Step 4: Simplify right side
   105,399x = 51,811,774,884
5. Step 5: Solve for x
   x = 51,811,774,884/105,399
6. Step 6: Final answer
   x = 491,577.48