Finding the Third Proportional to 105,200 and 227,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,200 : 227,904 = 227,904 : x
2. Step 2: Convert to fraction form
   105,200/227,904 = 227,904/x
3. Step 3: Cross multiply
   105,200x = 227,904 × 227,904
4. Step 4: Simplify right side
   105,200x = 51,940,233,216
5. Step 5: Solve for x
   x = 51,940,233,216/105,200
6. Step 6: Final answer
   x = 493,728.45