Finding the Third Proportional to 499.75 and 719.38

Step by Step Solution

1. Step 1: Write the proportion equation
   499.75 : 719.38 = 719.38 : x
2. Step 2: Convert to fraction form
   499.75/719.38 = 719.38/x
3. Step 3: Cross multiply
   499.75x = 719.38 × 719.38
4. Step 4: Simplify right side
   499.75x = 517,500.39
5. Step 5: Solve for x
   x = 517,500.39/499.75
6. Step 6: Final answer
   x = 1,035.52