Finding the Third Proportional to 167.98 and 259.45

Step by Step Solution

1. Step 1: Write the proportion equation
   167.98 : 259.45 = 259.45 : x
2. Step 2: Convert to fraction form
   167.98/259.45 = 259.45/x
3. Step 3: Cross multiply
   167.98x = 259.45 × 259.45
4. Step 4: Simplify right side
   167.98x = 67,315.92
5. Step 5: Solve for x
   x = 67,315.92/167.98
6. Step 6: Final answer
   x = 400.75