Finding the Third Proportional to 258.56 and 562.69

Step by Step Solution

1. Step 1: Write the proportion equation
   258.56 : 562.69 = 562.69 : x
2. Step 2: Convert to fraction form
   258.56/562.69 = 562.69/x
3. Step 3: Cross multiply
   258.56x = 562.69 × 562.69
4. Step 4: Simplify right side
   258.56x = 316,617.22
5. Step 5: Solve for x
   x = 316,617.22/258.56
6. Step 6: Final answer
   x = 1,224.53