Finding the Third Proportional to 100.78 and 113.44

Step by Step Solution

1. Step 1: Write the proportion equation
   100.78 : 113.44 = 113.44 : x
2. Step 2: Convert to fraction form
   100.78/113.44 = 113.44/x
3. Step 3: Cross multiply
   100.78x = 113.44 × 113.44
4. Step 4: Simplify right side
   100.78x = 12,868.07
5. Step 5: Solve for x
   x = 12,868.07/100.78
6. Step 6: Final answer
   x = 127.68