Finding the Third Proportional to 104.78 and 227.60

Step by Step Solution

1. Step 1: Write the proportion equation
   104.78 : 227.60 = 227.60 : x
2. Step 2: Convert to fraction form
   104.78/227.60 = 227.60/x
3. Step 3: Cross multiply
   104.78x = 227.60 × 227.60
4. Step 4: Simplify right side
   104.78x = 51,802.47
5. Step 5: Solve for x
   x = 51,802.47/104.78
6. Step 6: Final answer
   x = 494.38