Finding the Third Proportional to 155.75 and 338.25

Step by Step Solution

1. Step 1: Write the proportion equation
   155.75 : 338.25 = 338.25 : x
2. Step 2: Convert to fraction form
   155.75/338.25 = 338.25/x
3. Step 3: Cross multiply
   155.75x = 338.25 × 338.25
4. Step 4: Simplify right side
   155.75x = 114,413.06
5. Step 5: Solve for x
   x = 114,413.06/155.75
6. Step 6: Final answer
   x = 734.59