Finding the Third Proportional to 88.63 and 209.56

Step by Step Solution

1. Step 1: Write the proportion equation
   88.63 : 209.56 = 209.56 : x
2. Step 2: Convert to fraction form
   88.63/209.56 = 209.56/x
3. Step 3: Cross multiply
   88.63x = 209.56 × 209.56
4. Step 4: Simplify right side
   88.63x = 43,916.44
5. Step 5: Solve for x
   x = 43,916.44/88.63
6. Step 6: Final answer
   x = 495.53