Finding the Third Proportional to 142,738 and 199,566

Step by Step Solution

1. Step 1: Write the proportion equation
   142,738 : 199,566 = 199,566 : x
2. Step 2: Convert to fraction form
   142,738/199,566 = 199,566/x
3. Step 3: Cross multiply
   142,738x = 199,566 × 199,566
4. Step 4: Simplify right side
   142,738x = 39,826,588,356
5. Step 5: Solve for x
   x = 39,826,588,356/142,738
6. Step 6: Final answer
   x = 279,018.82