Finding the Third Proportional to 190.59 and 416.16

Step by Step Solution

1. Step 1: Write the proportion equation
   190.59 : 416.16 = 416.16 : x
2. Step 2: Convert to fraction form
   190.59/416.16 = 416.16/x
3. Step 3: Cross multiply
   190.59x = 416.16 × 416.16
4. Step 4: Simplify right side
   190.59x = 173,186.02
5. Step 5: Solve for x
   x = 173,186.02/190.59
6. Step 6: Final answer
   x = 908.67