Finding the Third Proportional to 49,734 and 104,274

Step by Step Solution

1. Step 1: Write the proportion equation
   49,734 : 104,274 = 104,274 : x
2. Step 2: Convert to fraction form
   49,734/104,274 = 104,274/x
3. Step 3: Cross multiply
   49,734x = 104,274 × 104,274
4. Step 4: Simplify right side
   49,734x = 10,873,067,076
5. Step 5: Solve for x
   x = 10,873,067,076/49,734
6. Step 6: Final answer
   x = 218,624.42