Finding the Third Proportional to 49,384 and 108,608

Step by Step Solution

1. Step 1: Write the proportion equation
   49,384 : 108,608 = 108,608 : x
2. Step 2: Convert to fraction form
   49,384/108,608 = 108,608/x
3. Step 3: Cross multiply
   49,384x = 108,608 × 108,608
4. Step 4: Simplify right side
   49,384x = 11,795,697,664
5. Step 5: Solve for x
   x = 11,795,697,664/49,384
6. Step 6: Final answer
   x = 238,856.67