Finding the Third Proportional to 49,344 and 100,520

Step by Step Solution

1. Step 1: Write the proportion equation
   49,344 : 100,520 = 100,520 : x
2. Step 2: Convert to fraction form
   49,344/100,520 = 100,520/x
3. Step 3: Cross multiply
   49,344x = 100,520 × 100,520
4. Step 4: Simplify right side
   49,344x = 10,104,270,400
5. Step 5: Solve for x
   x = 10,104,270,400/49,344
6. Step 6: Final answer
   x = 204,772.02