Finding the Third Proportional to 52,580 and 111,856

Step by Step Solution

1. Step 1: Write the proportion equation
   52,580 : 111,856 = 111,856 : x
2. Step 2: Convert to fraction form
   52,580/111,856 = 111,856/x
3. Step 3: Cross multiply
   52,580x = 111,856 × 111,856
4. Step 4: Simplify right side
   52,580x = 12,511,764,736
5. Step 5: Solve for x
   x = 12,511,764,736/52,580
6. Step 6: Final answer
   x = 237,956.73