Finding the Third Proportional to 49,510 and 100,742

Step by Step Solution

1. Step 1: Write the proportion equation
   49,510 : 100,742 = 100,742 : x
2. Step 2: Convert to fraction form
   49,510/100,742 = 100,742/x
3. Step 3: Cross multiply
   49,510x = 100,742 × 100,742
4. Step 4: Simplify right side
   49,510x = 10,148,950,564
5. Step 5: Solve for x
   x = 10,148,950,564/49,510
6. Step 6: Final answer
   x = 204,987.89