Finding the Third Proportional to 111,871 and 172,833

Step by Step Solution

1. Step 1: Write the proportion equation
   111,871 : 172,833 = 172,833 : x
2. Step 2: Convert to fraction form
   111,871/172,833 = 172,833/x
3. Step 3: Cross multiply
   111,871x = 172,833 × 172,833
4. Step 4: Simplify right side
   111,871x = 29,871,245,889
5. Step 5: Solve for x
   x = 29,871,245,889/111,871
6. Step 6: Final answer
   x = 267,015.10