Finding the Third Proportional to 538.22 and 1,099.27

Step by Step Solution

1. Step 1: Write the proportion equation
   538.22 : 1,099.27 = 1,099.27 : x
2. Step 2: Convert to fraction form
   538.22/1,099.27 = 1,099.27/x
3. Step 3: Cross multiply
   538.22x = 1,099.27 × 1,099.27
4. Step 4: Simplify right side
   538.22x = 1,208,384.91
5. Step 5: Solve for x
   x = 1,208,384.91/538.22
6. Step 6: Final answer
   x = 2,245.16