Finding the Third Proportional to 105,538 and 227,916

Step by Step Solution

1. Step 1: Write the proportion equation
   105,538 : 227,916 = 227,916 : x
2. Step 2: Convert to fraction form
   105,538/227,916 = 227,916/x
3. Step 3: Cross multiply
   105,538x = 227,916 × 227,916
4. Step 4: Simplify right side
   105,538x = 51,945,703,056
5. Step 5: Solve for x
   x = 51,945,703,056/105,538
6. Step 6: Final answer
   x = 492,199.05