Finding the Third Proportional to 189.28 and 413.72

Step by Step Solution

1. Step 1: Write the proportion equation
   189.28 : 413.72 = 413.72 : x
2. Step 2: Convert to fraction form
   189.28/413.72 = 413.72/x
3. Step 3: Cross multiply
   189.28x = 413.72 × 413.72
4. Step 4: Simplify right side
   189.28x = 171,163.20
5. Step 5: Solve for x
   x = 171,163.20/189.28
6. Step 6: Final answer
   x = 904.28