Finding the Third Proportional to 111,216 and 231,636

Step by Step Solution

1. Step 1: Write the proportion equation
   111,216 : 231,636 = 231,636 : x
2. Step 2: Convert to fraction form
   111,216/231,636 = 231,636/x
3. Step 3: Cross multiply
   111,216x = 231,636 × 231,636
4. Step 4: Simplify right side
   111,216x = 53,655,236,496
5. Step 5: Solve for x
   x = 53,655,236,496/111,216
6. Step 6: Final answer
   x = 482,441.70