Finding the Third Proportional to 111,530 and 228,496

Step by Step Solution

1. Step 1: Write the proportion equation
   111,530 : 228,496 = 228,496 : x
2. Step 2: Convert to fraction form
   111,530/228,496 = 228,496/x
3. Step 3: Cross multiply
   111,530x = 228,496 × 228,496
4. Step 4: Simplify right side
   111,530x = 52,210,422,016
5. Step 5: Solve for x
   x = 52,210,422,016/111,530
6. Step 6: Final answer
   x = 468,128.95