Finding the Third Proportional to 49,613 and 108,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,613 : 108,540.50 = 108,540.50 : x
2. Step 2: Convert to fraction form
   49,613/108,540.50 = 108,540.50/x
3. Step 3: Cross multiply
   49,613x = 108,540.50 × 108,540.50
4. Step 4: Simplify right side
   49,613x = 11,781,040,140.25
5. Step 5: Solve for x
   x = 11,781,040,140.25/49,613
6. Step 6: Final answer
   x = 237,458.73