Finding the Third Proportional to 43.78 and 109.45

Step by Step Solution

1. Step 1: Write the proportion equation
   43.78 : 109.45 = 109.45 : x
2. Step 2: Convert to fraction form
   43.78/109.45 = 109.45/x
3. Step 3: Cross multiply
   43.78x = 109.45 × 109.45
4. Step 4: Simplify right side
   43.78x = 11,979.99
5. Step 5: Solve for x
   x = 11,979.99/43.78
6. Step 6: Final answer
   x = 273.63