Finding the Third Proportional to 258.50 and 550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258.50 : 550.50 = 550.50 : x
2. Step 2: Convert to fraction form
   258.50/550.50 = 550.50/x
3. Step 3: Cross multiply
   258.50x = 550.50 × 550.50
4. Step 4: Simplify right side
   258.50x = 303,050.25
5. Step 5: Solve for x
   x = 303,050.25/258.50
6. Step 6: Final answer
   x = 1,172.34