Finding the Third Proportional to 67,008 and 144,768

Step by Step Solution

1. Step 1: Write the proportion equation
   67,008 : 144,768 = 144,768 : x
2. Step 2: Convert to fraction form
   67,008/144,768 = 144,768/x
3. Step 3: Cross multiply
   67,008x = 144,768 × 144,768
4. Step 4: Simplify right side
   67,008x = 20,957,773,824
5. Step 5: Solve for x
   x = 20,957,773,824/67,008
6. Step 6: Final answer
   x = 312,765.25