Finding the Third Proportional to 67,644 and 144,675

Step by Step Solution

1. Step 1: Write the proportion equation
   67,644 : 144,675 = 144,675 : x
2. Step 2: Convert to fraction form
   67,644/144,675 = 144,675/x
3. Step 3: Cross multiply
   67,644x = 144,675 × 144,675
4. Step 4: Simplify right side
   67,644x = 20,930,855,625
5. Step 5: Solve for x
   x = 20,930,855,625/67,644
6. Step 6: Final answer
   x = 309,426.64