Finding the Third Proportional to 49,740 and 108,795

Step by Step Solution

1. Step 1: Write the proportion equation
   49,740 : 108,795 = 108,795 : x
2. Step 2: Convert to fraction form
   49,740/108,795 = 108,795/x
3. Step 3: Cross multiply
   49,740x = 108,795 × 108,795
4. Step 4: Simplify right side
   49,740x = 11,836,352,025
5. Step 5: Solve for x
   x = 11,836,352,025/49,740
6. Step 6: Final answer
   x = 237,964.46