Finding the Third Proportional to 49.06 and 105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   49.06 : 105.78 = 105.78 : x
2. Step 2: Convert to fraction form
   49.06/105.78 = 105.78/x
3. Step 3: Cross multiply
   49.06x = 105.78 × 105.78
4. Step 4: Simplify right side
   49.06x = 11,189.10
5. Step 5: Solve for x
   x = 11,189.10/49.06
6. Step 6: Final answer
   x = 228.06