Finding the Third Proportional to 102.52 and 219.59

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 219.59 = 219.59 : x
2. Step 2: Convert to fraction form
   102.52/219.59 = 219.59/x
3. Step 3: Cross multiply
   102.52x = 219.59 × 219.59
4. Step 4: Simplify right side
   102.52x = 48,217.98
5. Step 5: Solve for x
   x = 48,217.98/102.52
6. Step 6: Final answer
   x = 470.35