Finding the Third Proportional to 87,648 and 142,401

Step by Step Solution

1. Step 1: Write the proportion equation
   87,648 : 142,401 = 142,401 : x
2. Step 2: Convert to fraction form
   87,648/142,401 = 142,401/x
3. Step 3: Cross multiply
   87,648x = 142,401 × 142,401
4. Step 4: Simplify right side
   87,648x = 20,278,044,801
5. Step 5: Solve for x
   x = 20,278,044,801/87,648
6. Step 6: Final answer
   x = 231,357.76