Finding the Third Proportional to 190.50 and 414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   190.50 : 414.25 = 414.25 : x
2. Step 2: Convert to fraction form
   190.50/414.25 = 414.25/x
3. Step 3: Cross multiply
   190.50x = 414.25 × 414.25
4. Step 4: Simplify right side
   190.50x = 171,603.06
5. Step 5: Solve for x
   x = 171,603.06/190.50
6. Step 6: Final answer
   x = 900.80