Finding the Third Proportional to 248.91 and 535.78

Step by Step Solution

1. Step 1: Write the proportion equation
   248.91 : 535.78 = 535.78 : x
2. Step 2: Convert to fraction form
   248.91/535.78 = 535.78/x
3. Step 3: Cross multiply
   248.91x = 535.78 × 535.78
4. Step 4: Simplify right side
   248.91x = 287,061.55
5. Step 5: Solve for x
   x = 287,061.55/248.91
6. Step 6: Final answer
   x = 1,153.29