Finding the Third Proportional to 48,608 and 105,760

Step by Step Solution

1. Step 1: Write the proportion equation
   48,608 : 105,760 = 105,760 : x
2. Step 2: Convert to fraction form
   48,608/105,760 = 105,760/x
3. Step 3: Cross multiply
   48,608x = 105,760 × 105,760
4. Step 4: Simplify right side
   48,608x = 11,185,177,600
5. Step 5: Solve for x
   x = 11,185,177,600/48,608
6. Step 6: Final answer
   x = 230,109.81