Finding the Third Proportional to 199.78 and 244.78

Step by Step Solution

1. Step 1: Write the proportion equation
   199.78 : 244.78 = 244.78 : x
2. Step 2: Convert to fraction form
   199.78/244.78 = 244.78/x
3. Step 3: Cross multiply
   199.78x = 244.78 × 244.78
4. Step 4: Simplify right side
   199.78x = 59,917.86
5. Step 5: Solve for x
   x = 59,917.86/199.78
6. Step 6: Final answer
   x = 299.92