Finding the Third Proportional to 108.38 and 139.78

Step by Step Solution

1. Step 1: Write the proportion equation
   108.38 : 139.78 = 139.78 : x
2. Step 2: Convert to fraction form
   108.38/139.78 = 139.78/x
3. Step 3: Cross multiply
   108.38x = 139.78 × 139.78
4. Step 4: Simplify right side
   108.38x = 19,538.80
5. Step 5: Solve for x
   x = 19,538.80/108.38
6. Step 6: Final answer
   x = 180.29