Finding the Third Proportional to 49,536 and 105,792

Step by Step Solution

1. Step 1: Write the proportion equation
   49,536 : 105,792 = 105,792 : x
2. Step 2: Convert to fraction form
   49,536/105,792 = 105,792/x
3. Step 3: Cross multiply
   49,536x = 105,792 × 105,792
4. Step 4: Simplify right side
   49,536x = 11,191,947,264
5. Step 5: Solve for x
   x = 11,191,947,264/49,536
6. Step 6: Final answer
   x = 225,935.63