Finding the Third Proportional to 258.56 and 410.06

Step by Step Solution

1. Step 1: Write the proportion equation
   258.56 : 410.06 = 410.06 : x
2. Step 2: Convert to fraction form
   258.56/410.06 = 410.06/x
3. Step 3: Cross multiply
   258.56x = 410.06 × 410.06
4. Step 4: Simplify right side
   258.56x = 168,151.25
5. Step 5: Solve for x
   x = 168,151.25/258.56
6. Step 6: Final answer
   x = 650.33