Finding the Third Proportional to 111,834 and 223,587

Step by Step Solution

1. Step 1: Write the proportion equation
   111,834 : 223,587 = 223,587 : x
2. Step 2: Convert to fraction form
   111,834/223,587 = 223,587/x
3. Step 3: Cross multiply
   111,834x = 223,587 × 223,587
4. Step 4: Simplify right side
   111,834x = 49,991,146,569
5. Step 5: Solve for x
   x = 49,991,146,569/111,834
6. Step 6: Final answer
   x = 447,012.06