Finding the Third Proportional to 216.56 and 233.06

Step by Step Solution

1. Step 1: Write the proportion equation
   216.56 : 233.06 = 233.06 : x
2. Step 2: Convert to fraction form
   216.56/233.06 = 233.06/x
3. Step 3: Cross multiply
   216.56x = 233.06 × 233.06
4. Step 4: Simplify right side
   216.56x = 54,318.13
5. Step 5: Solve for x
   x = 54,318.13/216.56
6. Step 6: Final answer
   x = 250.82