Finding the Third Proportional to 54,258 and 111,764

Step by Step Solution

1. Step 1: Write the proportion equation
   54,258 : 111,764 = 111,764 : x
2. Step 2: Convert to fraction form
   54,258/111,764 = 111,764/x
3. Step 3: Cross multiply
   54,258x = 111,764 × 111,764
4. Step 4: Simplify right side
   54,258x = 12,491,191,696
5. Step 5: Solve for x
   x = 12,491,191,696/54,258
6. Step 6: Final answer
   x = 230,218.43