Finding the Third Proportional to 496.69 and 743.63

Step by Step Solution

1. Step 1: Write the proportion equation
   496.69 : 743.63 = 743.63 : x
2. Step 2: Convert to fraction form
   496.69/743.63 = 743.63/x
3. Step 3: Cross multiply
   496.69x = 743.63 × 743.63
4. Step 4: Simplify right side
   496.69x = 552,978.14
5. Step 5: Solve for x
   x = 552,978.14/496.69
6. Step 6: Final answer
   x = 1,113.33