Finding the Third Proportional to 91.50 and 209.63

Step by Step Solution

1. Step 1: Write the proportion equation
   91.50 : 209.63 = 209.63 : x
2. Step 2: Convert to fraction form
   91.50/209.63 = 209.63/x
3. Step 3: Cross multiply
   91.50x = 209.63 × 209.63
4. Step 4: Simplify right side
   91.50x = 43,942.64
5. Step 5: Solve for x
   x = 43,942.64/91.50
6. Step 6: Final answer
   x = 480.25