Finding the Third Proportional to 229.50 and 538.31

Step by Step Solution

1. Step 1: Write the proportion equation
   229.50 : 538.31 = 538.31 : x
2. Step 2: Convert to fraction form
   229.50/538.31 = 538.31/x
3. Step 3: Cross multiply
   229.50x = 538.31 × 538.31
4. Step 4: Simplify right side
   229.50x = 289,780.35
5. Step 5: Solve for x
   x = 289,780.35/229.50
6. Step 6: Final answer
   x = 1,262.66