Finding the Third Proportional to 135,864 and 199,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,864 : 199,639.50 = 199,639.50 : x
2. Step 2: Convert to fraction form
   135,864/199,639.50 = 199,639.50/x
3. Step 3: Cross multiply
   135,864x = 199,639.50 × 199,639.50
4. Step 4: Simplify right side
   135,864x = 39,855,929,960.25
5. Step 5: Solve for x
   x = 39,855,929,960.25/135,864
6. Step 6: Final answer
   x = 293,351.66