Finding the Third Proportional to 185.50 and 272.88

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 272.88 = 272.88 : x
2. Step 2: Convert to fraction form
   185.50/272.88 = 272.88/x
3. Step 3: Cross multiply
   185.50x = 272.88 × 272.88
4. Step 4: Simplify right side
   185.50x = 74,460.77
5. Step 5: Solve for x
   x = 74,460.77/185.50
6. Step 6: Final answer
   x = 401.41