Finding the Third Proportional to 514.78 and 733.69

Step by Step Solution

1. Step 1: Write the proportion equation
   514.78 : 733.69 = 733.69 : x
2. Step 2: Convert to fraction form
   514.78/733.69 = 733.69/x
3. Step 3: Cross multiply
   514.78x = 733.69 × 733.69
4. Step 4: Simplify right side
   514.78x = 538,297.35
5. Step 5: Solve for x
   x = 538,297.35/514.78
6. Step 6: Final answer
   x = 1,045.68