Finding the Third Proportional to 142,863 and 209,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,863 : 209,863.50 = 209,863.50 : x
2. Step 2: Convert to fraction form
   142,863/209,863.50 = 209,863.50/x
3. Step 3: Cross multiply
   142,863x = 209,863.50 × 209,863.50
4. Step 4: Simplify right side
   142,863x = 44,042,688,632.25
5. Step 5: Solve for x
   x = 44,042,688,632.25/142,863
6. Step 6: Final answer
   x = 308,286.18