Finding the Third Proportional to 73,885 and 144,077

Step by Step Solution

1. Step 1: Write the proportion equation
   73,885 : 144,077 = 144,077 : x
2. Step 2: Convert to fraction form
   73,885/144,077 = 144,077/x
3. Step 3: Cross multiply
   73,885x = 144,077 × 144,077
4. Step 4: Simplify right side
   73,885x = 20,758,181,929
5. Step 5: Solve for x
   x = 20,758,181,929/73,885
6. Step 6: Final answer
   x = 280,952.59