Finding the Third Proportional to 142,570 and 199,321

Step by Step Solution

1. Step 1: Write the proportion equation
   142,570 : 199,321 = 199,321 : x
2. Step 2: Convert to fraction form
   142,570/199,321 = 199,321/x
3. Step 3: Cross multiply
   142,570x = 199,321 × 199,321
4. Step 4: Simplify right side
   142,570x = 39,728,861,041
5. Step 5: Solve for x
   x = 39,728,861,041/142,570
6. Step 6: Final answer
   x = 278,662.14