Finding the Third Proportional to 103,692 and 227,256

Step by Step Solution

1. Step 1: Write the proportion equation
   103,692 : 227,256 = 227,256 : x
2. Step 2: Convert to fraction form
   103,692/227,256 = 227,256/x
3. Step 3: Cross multiply
   103,692x = 227,256 × 227,256
4. Step 4: Simplify right side
   103,692x = 51,645,289,536
5. Step 5: Solve for x
   x = 51,645,289,536/103,692
6. Step 6: Final answer
   x = 498,064.36