Finding the Third Proportional to 179.56 and 272.56

Step by Step Solution

1. Step 1: Write the proportion equation
   179.56 : 272.56 = 272.56 : x
2. Step 2: Convert to fraction form
   179.56/272.56 = 272.56/x
3. Step 3: Cross multiply
   179.56x = 272.56 × 272.56
4. Step 4: Simplify right side
   179.56x = 74,290.32
5. Step 5: Solve for x
   x = 74,290.32/179.56
6. Step 6: Final answer
   x = 413.73