Finding the Third Proportional to 493.88 and 1,087.17

Step by Step Solution

1. Step 1: Write the proportion equation
   493.88 : 1,087.17 = 1,087.17 : x
2. Step 2: Convert to fraction form
   493.88/1,087.17 = 1,087.17/x
3. Step 3: Cross multiply
   493.88x = 1,087.17 × 1,087.17
4. Step 4: Simplify right side
   493.88x = 1,181,942.69
5. Step 5: Solve for x
   x = 1,181,942.69/493.88
6. Step 6: Final answer
   x = 2,393.20