Finding the Third Proportional to 145.88 and 190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145.88 : 190.50 = 190.50 : x
2. Step 2: Convert to fraction form
   145.88/190.50 = 190.50/x
3. Step 3: Cross multiply
   145.88x = 190.50 × 190.50
4. Step 4: Simplify right side
   145.88x = 36,290.25
5. Step 5: Solve for x
   x = 36,290.25/145.88
6. Step 6: Final answer
   x = 248.78