Finding the Third Proportional to 49,919 and 108,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,919 : 108,585.50 = 108,585.50 : x
2. Step 2: Convert to fraction form
   49,919/108,585.50 = 108,585.50/x
3. Step 3: Cross multiply
   49,919x = 108,585.50 × 108,585.50
4. Step 4: Simplify right side
   49,919x = 11,790,810,810.25
5. Step 5: Solve for x
   x = 11,790,810,810.25/49,919
6. Step 6: Final answer
   x = 236,198.86