Finding the Third Proportional to 111,871 and 218,072

Step by Step Solution

1. Step 1: Write the proportion equation
   111,871 : 218,072 = 218,072 : x
2. Step 2: Convert to fraction form
   111,871/218,072 = 218,072/x
3. Step 3: Cross multiply
   111,871x = 218,072 × 218,072
4. Step 4: Simplify right side
   111,871x = 47,555,397,184
5. Step 5: Solve for x
   x = 47,555,397,184/111,871
6. Step 6: Final answer
   x = 425,091.37