Finding the Third Proportional to 496.88 and 1,077.38

Step by Step Solution

1. Step 1: Write the proportion equation
   496.88 : 1,077.38 = 1,077.38 : x
2. Step 2: Convert to fraction form
   496.88/1,077.38 = 1,077.38/x
3. Step 3: Cross multiply
   496.88x = 1,077.38 × 1,077.38
4. Step 4: Simplify right side
   496.88x = 1,160,736.89
5. Step 5: Solve for x
   x = 1,160,736.89/496.88
6. Step 6: Final answer
   x = 2,336.07