Finding the Third Proportional to 142,569 and 199,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,569 : 199,321.50 = 199,321.50 : x
2. Step 2: Convert to fraction form
   142,569/199,321.50 = 199,321.50/x
3. Step 3: Cross multiply
   142,569x = 199,321.50 × 199,321.50
4. Step 4: Simplify right side
   142,569x = 39,729,060,362.25
5. Step 5: Solve for x
   x = 39,729,060,362.25/142,569
6. Step 6: Final answer
   x = 278,665.49