Finding the Third Proportional to 55,936 and 111,830

Step by Step Solution

1. Step 1: Write the proportion equation
   55,936 : 111,830 = 111,830 : x
2. Step 2: Convert to fraction form
   55,936/111,830 = 111,830/x
3. Step 3: Cross multiply
   55,936x = 111,830 × 111,830
4. Step 4: Simplify right side
   55,936x = 12,505,948,900
5. Step 5: Solve for x
   x = 12,505,948,900/55,936
6. Step 6: Final answer
   x = 223,576.03