Finding the Third Proportional to 258.52 and 563.52

Step by Step Solution

1. Step 1: Write the proportion equation
   258.52 : 563.52 = 563.52 : x
2. Step 2: Convert to fraction form
   258.52/563.52 = 563.52/x
3. Step 3: Cross multiply
   258.52x = 563.52 × 563.52
4. Step 4: Simplify right side
   258.52x = 317,549.86
5. Step 5: Solve for x
   x = 317,549.86/258.52
6. Step 6: Final answer
   x = 1,228.36