Finding the Third Proportional to 258.38 and 535.88

Step by Step Solution

1. Step 1: Write the proportion equation
   258.38 : 535.88 = 535.88 : x
2. Step 2: Convert to fraction form
   258.38/535.88 = 535.88/x
3. Step 3: Cross multiply
   258.38x = 535.88 × 535.88
4. Step 4: Simplify right side
   258.38x = 287,162.02
5. Step 5: Solve for x
   x = 287,162.02/258.38
6. Step 6: Final answer
   x = 1,111.42