Finding the Third Proportional to 814.50 and 982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   814.50 : 982.50 = 982.50 : x
2. Step 2: Convert to fraction form
   814.50/982.50 = 982.50/x
3. Step 3: Cross multiply
   814.50x = 982.50 × 982.50
4. Step 4: Simplify right side
   814.50x = 965,306.25
5. Step 5: Solve for x
   x = 965,306.25/814.50
6. Step 6: Final answer
   x = 1,185.15