Finding the Third Proportional to 75,238 and 111,999

Step by Step Solution

1. Step 1: Write the proportion equation
   75,238 : 111,999 = 111,999 : x
2. Step 2: Convert to fraction form
   75,238/111,999 = 111,999/x
3. Step 3: Cross multiply
   75,238x = 111,999 × 111,999
4. Step 4: Simplify right side
   75,238x = 12,543,776,001
5. Step 5: Solve for x
   x = 12,543,776,001/75,238
6. Step 6: Final answer
   x = 166,721.28