Finding the Third Proportional to 142,632 and 199,398

Step by Step Solution

1. Step 1: Write the proportion equation
   142,632 : 199,398 = 199,398 : x
2. Step 2: Convert to fraction form
   142,632/199,398 = 199,398/x
3. Step 3: Cross multiply
   142,632x = 199,398 × 199,398
4. Step 4: Simplify right side
   142,632x = 39,759,562,404
5. Step 5: Solve for x
   x = 39,759,562,404/142,632
6. Step 6: Final answer
   x = 278,756.26