Finding the Third Proportional to 146.25 and 338.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146.25 : 338.25 = 338.25 : x
2. Step 2: Convert to fraction form
   146.25/338.25 = 338.25/x
3. Step 3: Cross multiply
   146.25x = 338.25 × 338.25
4. Step 4: Simplify right side
   146.25x = 114,413.06
5. Step 5: Solve for x
   x = 114,413.06/146.25
6. Step 6: Final answer
   x = 782.31