Finding the Third Proportional to 105,867 and 227,085

Step by Step Solution

1. Step 1: Write the proportion equation
   105,867 : 227,085 = 227,085 : x
2. Step 2: Convert to fraction form
   105,867/227,085 = 227,085/x
3. Step 3: Cross multiply
   105,867x = 227,085 × 227,085
4. Step 4: Simplify right side
   105,867x = 51,567,597,225
5. Step 5: Solve for x
   x = 51,567,597,225/105,867
6. Step 6: Final answer
   x = 487,097.94