Finding the Third Proportional to 80.91 and 182.72

Step by Step Solution

1. Step 1: Write the proportion equation
   80.91 : 182.72 = 182.72 : x
2. Step 2: Convert to fraction form
   80.91/182.72 = 182.72/x
3. Step 3: Cross multiply
   80.91x = 182.72 × 182.72
4. Step 4: Simplify right side
   80.91x = 33,386.14
5. Step 5: Solve for x
   x = 33,386.14/80.91
6. Step 6: Final answer
   x = 412.65