Finding the Third Proportional to 498.23 and 1,087.17

Step by Step Solution

1. Step 1: Write the proportion equation
   498.23 : 1,087.17 = 1,087.17 : x
2. Step 2: Convert to fraction form
   498.23/1,087.17 = 1,087.17/x
3. Step 3: Cross multiply
   498.23x = 1,087.17 × 1,087.17
4. Step 4: Simplify right side
   498.23x = 1,181,942.69
5. Step 5: Solve for x
   x = 1,181,942.69/498.23
6. Step 6: Final answer
   x = 2,372.26