Finding the Third Proportional to 49,806 and 108,924

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 108,924 = 108,924 : x
2. Step 2: Convert to fraction form
   49,806/108,924 = 108,924/x
3. Step 3: Cross multiply
   49,806x = 108,924 × 108,924
4. Step 4: Simplify right side
   49,806x = 11,864,437,776
5. Step 5: Solve for x
   x = 11,864,437,776/49,806
6. Step 6: Final answer
   x = 238,213.02