Finding the Third Proportional to 111,348 and 231,876

Step by Step Solution

1. Step 1: Write the proportion equation
   111,348 : 231,876 = 231,876 : x
2. Step 2: Convert to fraction form
   111,348/231,876 = 231,876/x
3. Step 3: Cross multiply
   111,348x = 231,876 × 231,876
4. Step 4: Simplify right side
   111,348x = 53,766,479,376
5. Step 5: Solve for x
   x = 53,766,479,376/111,348
6. Step 6: Final answer
   x = 482,868.84