Finding the Third Proportional to 67.50 and 143.44

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 143.44 = 143.44 : x
2. Step 2: Convert to fraction form
   67.50/143.44 = 143.44/x
3. Step 3: Cross multiply
   67.50x = 143.44 × 143.44
4. Step 4: Simplify right side
   67.50x = 20,574.32
5. Step 5: Solve for x
   x = 20,574.32/67.50
6. Step 6: Final answer
   x = 304.80