Finding the Third Proportional to 496.69 and 1,092.94

Step by Step Solution

1. Step 1: Write the proportion equation
   496.69 : 1,092.94 = 1,092.94 : x
2. Step 2: Convert to fraction form
   496.69/1,092.94 = 1,092.94/x
3. Step 3: Cross multiply
   496.69x = 1,092.94 × 1,092.94
4. Step 4: Simplify right side
   496.69x = 1,194,512.38
5. Step 5: Solve for x
   x = 1,194,512.38/496.69
6. Step 6: Final answer
   x = 2,404.96