Finding the Third Proportional to 111,584 and 230,892

Step by Step Solution

1. Step 1: Write the proportion equation
   111,584 : 230,892 = 230,892 : x
2. Step 2: Convert to fraction form
   111,584/230,892 = 230,892/x
3. Step 3: Cross multiply
   111,584x = 230,892 × 230,892
4. Step 4: Simplify right side
   111,584x = 53,311,115,664
5. Step 5: Solve for x
   x = 53,311,115,664/111,584
6. Step 6: Final answer
   x = 477,766.67