Finding the Third Proportional to 49,414 and 108,908

Step by Step Solution

1. Step 1: Write the proportion equation
   49,414 : 108,908 = 108,908 : x
2. Step 2: Convert to fraction form
   49,414/108,908 = 108,908/x
3. Step 3: Cross multiply
   49,414x = 108,908 × 108,908
4. Step 4: Simplify right side
   49,414x = 11,860,952,464
5. Step 5: Solve for x
   x = 11,860,952,464/49,414
6. Step 6: Final answer
   x = 240,032.23