Finding the Third Proportional to 49,204 and 105,574

Step by Step Solution

1. Step 1: Write the proportion equation
   49,204 : 105,574 = 105,574 : x
2. Step 2: Convert to fraction form
   49,204/105,574 = 105,574/x
3. Step 3: Cross multiply
   49,204x = 105,574 × 105,574
4. Step 4: Simplify right side
   49,204x = 11,145,869,476
5. Step 5: Solve for x
   x = 11,145,869,476/49,204
6. Step 6: Final answer
   x = 226,523.65