Finding the Third Proportional to 493.03 and 738.28

Step by Step Solution

1. Step 1: Write the proportion equation
   493.03 : 738.28 = 738.28 : x
2. Step 2: Convert to fraction form
   493.03/738.28 = 738.28/x
3. Step 3: Cross multiply
   493.03x = 738.28 × 738.28
4. Step 4: Simplify right side
   493.03x = 545,059.20
5. Step 5: Solve for x
   x = 545,059.20/493.03
6. Step 6: Final answer
   x = 1,105.53