Finding the Third Proportional to 54,385 and 111,698

Step by Step Solution

1. Step 1: Write the proportion equation
   54,385 : 111,698 = 111,698 : x
2. Step 2: Convert to fraction form
   54,385/111,698 = 111,698/x
3. Step 3: Cross multiply
   54,385x = 111,698 × 111,698
4. Step 4: Simplify right side
   54,385x = 12,476,443,204
5. Step 5: Solve for x
   x = 12,476,443,204/54,385
6. Step 6: Final answer
   x = 229,409.64