Finding the Third Proportional to 111,869 and 172,830

Step by Step Solution

1. Step 1: Write the proportion equation
   111,869 : 172,830 = 172,830 : x
2. Step 2: Convert to fraction form
   111,869/172,830 = 172,830/x
3. Step 3: Cross multiply
   111,869x = 172,830 × 172,830
4. Step 4: Simplify right side
   111,869x = 29,870,208,900
5. Step 5: Solve for x
   x = 29,870,208,900/111,869
6. Step 6: Final answer
   x = 267,010.60