Finding the Third Proportional to 49,648 and 108,512

Step by Step Solution

1. Step 1: Write the proportion equation
   49,648 : 108,512 = 108,512 : x
2. Step 2: Convert to fraction form
   49,648/108,512 = 108,512/x
3. Step 3: Cross multiply
   49,648x = 108,512 × 108,512
4. Step 4: Simplify right side
   49,648x = 11,774,854,144
5. Step 5: Solve for x
   x = 11,774,854,144/49,648
6. Step 6: Final answer
   x = 237,166.74