Finding the Third Proportional to 49,698 and 76,923

Step by Step Solution

1. Step 1: Write the proportion equation
   49,698 : 76,923 = 76,923 : x
2. Step 2: Convert to fraction form
   49,698/76,923 = 76,923/x
3. Step 3: Cross multiply
   49,698x = 76,923 × 76,923
4. Step 4: Simplify right side
   49,698x = 5,917,147,929
5. Step 5: Solve for x
   x = 5,917,147,929/49,698
6. Step 6: Final answer
   x = 119,062.09