Finding the Third Proportional to 111,870 and 172,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,870 : 172,831.50 = 172,831.50 : x
2. Step 2: Convert to fraction form
   111,870/172,831.50 = 172,831.50/x
3. Step 3: Cross multiply
   111,870x = 172,831.50 × 172,831.50
4. Step 4: Simplify right side
   111,870x = 29,870,727,392.25
5. Step 5: Solve for x
   x = 29,870,727,392.25/111,870
6. Step 6: Final answer
   x = 267,012.85