Finding the Third Proportional to 538.21 and 1,110.59

Step by Step Solution

1. Step 1: Write the proportion equation
   538.21 : 1,110.59 = 1,110.59 : x
2. Step 2: Convert to fraction form
   538.21/1,110.59 = 1,110.59/x
3. Step 3: Cross multiply
   538.21x = 1,110.59 × 1,110.59
4. Step 4: Simplify right side
   538.21x = 1,233,401.12
5. Step 5: Solve for x
   x = 1,233,401.12/538.21
6. Step 6: Final answer
   x = 2,291.69