Finding the Third Proportional to 96.89 and 209.30

Step by Step Solution

1. Step 1: Write the proportion equation
   96.89 : 209.30 = 209.30 : x
2. Step 2: Convert to fraction form
   96.89/209.30 = 209.30/x
3. Step 3: Cross multiply
   96.89x = 209.30 × 209.30
4. Step 4: Simplify right side
   96.89x = 43,805.18
5. Step 5: Solve for x
   x = 43,805.18/96.89
6. Step 6: Final answer
   x = 452.11