Finding the Third Proportional to 72,186 and 111,561

Step by Step Solution

1. Step 1: Write the proportion equation
   72,186 : 111,561 = 111,561 : x
2. Step 2: Convert to fraction form
   72,186/111,561 = 111,561/x
3. Step 3: Cross multiply
   72,186x = 111,561 × 111,561
4. Step 4: Simplify right side
   72,186x = 12,445,856,721
5. Step 5: Solve for x
   x = 12,445,856,721/72,186
6. Step 6: Final answer
   x = 172,413.72