Finding the Third Proportional to 49,600 and 104,320

Step by Step Solution

1. Step 1: Write the proportion equation
   49,600 : 104,320 = 104,320 : x
2. Step 2: Convert to fraction form
   49,600/104,320 = 104,320/x
3. Step 3: Cross multiply
   49,600x = 104,320 × 104,320
4. Step 4: Simplify right side
   49,600x = 10,882,662,400
5. Step 5: Solve for x
   x = 10,882,662,400/49,600
6. Step 6: Final answer
   x = 219,408.52