Finding the Third Proportional to 49,942 and 108,199

Step by Step Solution

1. Step 1: Write the proportion equation
   49,942 : 108,199 = 108,199 : x
2. Step 2: Convert to fraction form
   49,942/108,199 = 108,199/x
3. Step 3: Cross multiply
   49,942x = 108,199 × 108,199
4. Step 4: Simplify right side
   49,942x = 11,707,023,601
5. Step 5: Solve for x
   x = 11,707,023,601/49,942
6. Step 6: Final answer
   x = 234,412.39