Finding the Third Proportional to 111,910 and 173,538

Step by Step Solution

1. Step 1: Write the proportion equation
   111,910 : 173,538 = 173,538 : x
2. Step 2: Convert to fraction form
   111,910/173,538 = 173,538/x
3. Step 3: Cross multiply
   111,910x = 173,538 × 173,538
4. Step 4: Simplify right side
   111,910x = 30,115,437,444
5. Step 5: Solve for x
   x = 30,115,437,444/111,910
6. Step 6: Final answer
   x = 269,104.08