Finding the Third Proportional to 538.31 and 805.69

Step by Step Solution

1. Step 1: Write the proportion equation
   538.31 : 805.69 = 805.69 : x
2. Step 2: Convert to fraction form
   538.31/805.69 = 805.69/x
3. Step 3: Cross multiply
   538.31x = 805.69 × 805.69
4. Step 4: Simplify right side
   538.31x = 649,132.35
5. Step 5: Solve for x
   x = 649,132.35/538.31
6. Step 6: Final answer
   x = 1,205.87