Finding the Third Proportional to 49.78 and 104.63

Step by Step Solution

1. Step 1: Write the proportion equation
   49.78 : 104.63 = 104.63 : x
2. Step 2: Convert to fraction form
   49.78/104.63 = 104.63/x
3. Step 3: Cross multiply
   49.78x = 104.63 × 104.63
4. Step 4: Simplify right side
   49.78x = 10,946.39
5. Step 5: Solve for x
   x = 10,946.39/49.78
6. Step 6: Final answer
   x = 219.89