Finding the Third Proportional to 216.52 and 363.61

Step by Step Solution

1. Step 1: Write the proportion equation
   216.52 : 363.61 = 363.61 : x
2. Step 2: Convert to fraction form
   216.52/363.61 = 363.61/x
3. Step 3: Cross multiply
   216.52x = 363.61 × 363.61
4. Step 4: Simplify right side
   216.52x = 132,211.78
5. Step 5: Solve for x
   x = 132,211.78/216.52
6. Step 6: Final answer
   x = 610.63