Finding the Third Proportional to 496.69 and 1,126.69

Step by Step Solution

1. Step 1: Write the proportion equation
   496.69 : 1,126.69 = 1,126.69 : x
2. Step 2: Convert to fraction form
   496.69/1,126.69 = 1,126.69/x
3. Step 3: Cross multiply
   496.69x = 1,126.69 × 1,126.69
4. Step 4: Simplify right side
   496.69x = 1,269,424.72
5. Step 5: Solve for x
   x = 1,269,424.72/496.69
6. Step 6: Final answer
   x = 2,555.78