Finding the Third Proportional to 142,641 and 199,406

Step by Step Solution

1. Step 1: Write the proportion equation
   142,641 : 199,406 = 199,406 : x
2. Step 2: Convert to fraction form
   142,641/199,406 = 199,406/x
3. Step 3: Cross multiply
   142,641x = 199,406 × 199,406
4. Step 4: Simplify right side
   142,641x = 39,762,752,836
5. Step 5: Solve for x
   x = 39,762,752,836/142,641
6. Step 6: Final answer
   x = 278,761.04