Finding the Third Proportional to 142,634 and 199,401

Step by Step Solution

1. Step 1: Write the proportion equation
   142,634 : 199,401 = 199,401 : x
2. Step 2: Convert to fraction form
   142,634/199,401 = 199,401/x
3. Step 3: Cross multiply
   142,634x = 199,401 × 199,401
4. Step 4: Simplify right side
   142,634x = 39,760,758,801
5. Step 5: Solve for x
   x = 39,760,758,801/142,634
6. Step 6: Final answer
   x = 278,760.74