Finding the Third Proportional to 145.75 and 222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145.75 : 222.25 = 222.25 : x
2. Step 2: Convert to fraction form
   145.75/222.25 = 222.25/x
3. Step 3: Cross multiply
   145.75x = 222.25 × 222.25
4. Step 4: Simplify right side
   145.75x = 49,395.06
5. Step 5: Solve for x
   x = 49,395.06/145.75
6. Step 6: Final answer
   x = 338.90