Finding the Third Proportional to 54,624 and 111,258

Step by Step Solution

1. Step 1: Write the proportion equation
   54,624 : 111,258 = 111,258 : x
2. Step 2: Convert to fraction form
   54,624/111,258 = 111,258/x
3. Step 3: Cross multiply
   54,624x = 111,258 × 111,258
4. Step 4: Simplify right side
   54,624x = 12,378,342,564
5. Step 5: Solve for x
   x = 12,378,342,564/54,624
6. Step 6: Final answer
   x = 226,609.96