Finding the Third Proportional to 49,298 and 105,652

Step by Step Solution

1. Step 1: Write the proportion equation
   49,298 : 105,652 = 105,652 : x
2. Step 2: Convert to fraction form
   49,298/105,652 = 105,652/x
3. Step 3: Cross multiply
   49,298x = 105,652 × 105,652
4. Step 4: Simplify right side
   49,298x = 11,162,345,104
5. Step 5: Solve for x
   x = 11,162,345,104/49,298
6. Step 6: Final answer
   x = 226,425.92