Finding the Third Proportional to 105,538 and 227,915

Step by Step Solution

1. Step 1: Write the proportion equation
   105,538 : 227,915 = 227,915 : x
2. Step 2: Convert to fraction form
   105,538/227,915 = 227,915/x
3. Step 3: Cross multiply
   105,538x = 227,915 × 227,915
4. Step 4: Simplify right side
   105,538x = 51,945,247,225
5. Step 5: Solve for x
   x = 51,945,247,225/105,538
6. Step 6: Final answer
   x = 492,194.73