Finding the Third Proportional to 102.52 and 213.57

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 213.57 = 213.57 : x
2. Step 2: Convert to fraction form
   102.52/213.57 = 213.57/x
3. Step 3: Cross multiply
   102.52x = 213.57 × 213.57
4. Step 4: Simplify right side
   102.52x = 45,613.95
5. Step 5: Solve for x
   x = 45,613.95/102.52
6. Step 6: Final answer
   x = 444.95