Finding the Third Proportional to 142,569 and 199,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,569 : 199,319.50 = 199,319.50 : x
2. Step 2: Convert to fraction form
   142,569/199,319.50 = 199,319.50/x
3. Step 3: Cross multiply
   142,569x = 199,319.50 × 199,319.50
4. Step 4: Simplify right side
   142,569x = 39,728,263,080.25
5. Step 5: Solve for x
   x = 39,728,263,080.25/142,569
6. Step 6: Final answer
   x = 278,659.90