Finding the Third Proportional to 499.69 and 760.03

Step by Step Solution

1. Step 1: Write the proportion equation
   499.69 : 760.03 = 760.03 : x
2. Step 2: Convert to fraction form
   499.69/760.03 = 760.03/x
3. Step 3: Cross multiply
   499.69x = 760.03 × 760.03
4. Step 4: Simplify right side
   499.69x = 577,647.50
5. Step 5: Solve for x
   x = 577,647.50/499.69
6. Step 6: Final answer
   x = 1,156.02