Finding the Third Proportional to 55,938 and 111,834

Step by Step Solution

1. Step 1: Write the proportion equation
   55,938 : 111,834 = 111,834 : x
2. Step 2: Convert to fraction form
   55,938/111,834 = 111,834/x
3. Step 3: Cross multiply
   55,938x = 111,834 × 111,834
4. Step 4: Simplify right side
   55,938x = 12,506,843,556
5. Step 5: Solve for x
   x = 12,506,843,556/55,938
6. Step 6: Final answer
   x = 223,584.03