Finding the Third Proportional to 259.50 and 377.25

Step by Step Solution

1. Step 1: Write the proportion equation
   259.50 : 377.25 = 377.25 : x
2. Step 2: Convert to fraction form
   259.50/377.25 = 377.25/x
3. Step 3: Cross multiply
   259.50x = 377.25 × 377.25
4. Step 4: Simplify right side
   259.50x = 142,317.56
5. Step 5: Solve for x
   x = 142,317.56/259.50
6. Step 6: Final answer
   x = 548.43