Finding the Third Proportional to 181.50 and 273.25

Step by Step Solution

1. Step 1: Write the proportion equation
   181.50 : 273.25 = 273.25 : x
2. Step 2: Convert to fraction form
   181.50/273.25 = 273.25/x
3. Step 3: Cross multiply
   181.50x = 273.25 × 273.25
4. Step 4: Simplify right side
   181.50x = 74,665.56
5. Step 5: Solve for x
   x = 74,665.56/181.50
6. Step 6: Final answer
   x = 411.38