Finding the Third Proportional to 49,746 and 104,298

Step by Step Solution

1. Step 1: Write the proportion equation
   49,746 : 104,298 = 104,298 : x
2. Step 2: Convert to fraction form
   49,746/104,298 = 104,298/x
3. Step 3: Cross multiply
   49,746x = 104,298 × 104,298
4. Step 4: Simplify right side
   49,746x = 10,878,072,804
5. Step 5: Solve for x
   x = 10,878,072,804/49,746
6. Step 6: Final answer
   x = 218,672.31