Finding the Third Proportional to 49,371 and 100,578

Step by Step Solution

1. Step 1: Write the proportion equation
   49,371 : 100,578 = 100,578 : x
2. Step 2: Convert to fraction form
   49,371/100,578 = 100,578/x
3. Step 3: Cross multiply
   49,371x = 100,578 × 100,578
4. Step 4: Simplify right side
   49,371x = 10,115,934,084
5. Step 5: Solve for x
   x = 10,115,934,084/49,371
6. Step 6: Final answer
   x = 204,896.28