Finding the Third Proportional to 499.50 and 583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   499.50 : 583.50 = 583.50 : x
2. Step 2: Convert to fraction form
   499.50/583.50 = 583.50/x
3. Step 3: Cross multiply
   499.50x = 583.50 × 583.50
4. Step 4: Simplify right side
   499.50x = 340,472.25
5. Step 5: Solve for x
   x = 340,472.25/499.50
6. Step 6: Final answer
   x = 681.63