Finding the Third Proportional to 82.75 and 209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 209.50 = 209.50 : x
2. Step 2: Convert to fraction form
   82.75/209.50 = 209.50/x
3. Step 3: Cross multiply
   82.75x = 209.50 × 209.50
4. Step 4: Simplify right side
   82.75x = 43,890.25
5. Step 5: Solve for x
   x = 43,890.25/82.75
6. Step 6: Final answer
   x = 530.40