Finding the Third Proportional to 111,732 and 229,386

Step by Step Solution

1. Step 1: Write the proportion equation
   111,732 : 229,386 = 229,386 : x
2. Step 2: Convert to fraction form
   111,732/229,386 = 229,386/x
3. Step 3: Cross multiply
   111,732x = 229,386 × 229,386
4. Step 4: Simplify right side
   111,732x = 52,617,936,996
5. Step 5: Solve for x
   x = 52,617,936,996/111,732
6. Step 6: Final answer
   x = 470,929.88