Finding the Third Proportional to 458.50 and 681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   458.50 : 681.50 = 681.50 : x
2. Step 2: Convert to fraction form
   458.50/681.50 = 681.50/x
3. Step 3: Cross multiply
   458.50x = 681.50 × 681.50
4. Step 4: Simplify right side
   458.50x = 464,442.25
5. Step 5: Solve for x
   x = 464,442.25/458.50
6. Step 6: Final answer
   x = 1,012.96