Finding the Third Proportional to 111,876 and 218,084

Step by Step Solution

1. Step 1: Write the proportion equation
   111,876 : 218,084 = 218,084 : x
2. Step 2: Convert to fraction form
   111,876/218,084 = 218,084/x
3. Step 3: Cross multiply
   111,876x = 218,084 × 218,084
4. Step 4: Simplify right side
   111,876x = 47,560,631,056
5. Step 5: Solve for x
   x = 47,560,631,056/111,876
6. Step 6: Final answer
   x = 425,119.16