Finding the Third Proportional to 139.69 and 240.38

Step by Step Solution

1. Step 1: Write the proportion equation
   139.69 : 240.38 = 240.38 : x
2. Step 2: Convert to fraction form
   139.69/240.38 = 240.38/x
3. Step 3: Cross multiply
   139.69x = 240.38 × 240.38
4. Step 4: Simplify right side
   139.69x = 57,780.14
5. Step 5: Solve for x
   x = 57,780.14/139.69
6. Step 6: Final answer
   x = 413.64