Finding the Third Proportional to 54,212 and 111,880

Step by Step Solution

1. Step 1: Write the proportion equation
   54,212 : 111,880 = 111,880 : x
2. Step 2: Convert to fraction form
   54,212/111,880 = 111,880/x
3. Step 3: Cross multiply
   54,212x = 111,880 × 111,880
4. Step 4: Simplify right side
   54,212x = 12,517,134,400
5. Step 5: Solve for x
   x = 12,517,134,400/54,212
6. Step 6: Final answer
   x = 230,892.32