Finding the Third Proportional to 49,775 and 108,298

Step by Step Solution

1. Step 1: Write the proportion equation
   49,775 : 108,298 = 108,298 : x
2. Step 2: Convert to fraction form
   49,775/108,298 = 108,298/x
3. Step 3: Cross multiply
   49,775x = 108,298 × 108,298
4. Step 4: Simplify right side
   49,775x = 11,728,456,804
5. Step 5: Solve for x
   x = 11,728,456,804/49,775
6. Step 6: Final answer
   x = 235,629.47