Finding the Third Proportional to 53,880 and 111,078

Step by Step Solution

1. Step 1: Write the proportion equation
   53,880 : 111,078 = 111,078 : x
2. Step 2: Convert to fraction form
   53,880/111,078 = 111,078/x
3. Step 3: Cross multiply
   53,880x = 111,078 × 111,078
4. Step 4: Simplify right side
   53,880x = 12,338,322,084
5. Step 5: Solve for x
   x = 12,338,322,084/53,880
6. Step 6: Final answer
   x = 228,996.33