Finding the Third Proportional to 53,760 and 111,880

Step by Step Solution

1. Step 1: Write the proportion equation
   53,760 : 111,880 = 111,880 : x
2. Step 2: Convert to fraction form
   53,760/111,880 = 111,880/x
3. Step 3: Cross multiply
   53,760x = 111,880 × 111,880
4. Step 4: Simplify right side
   53,760x = 12,517,134,400
5. Step 5: Solve for x
   x = 12,517,134,400/53,760
6. Step 6: Final answer
   x = 232,833.60