Finding the Third Proportional to 74,144 and 111,856

Step by Step Solution

1. Step 1: Write the proportion equation
   74,144 : 111,856 = 111,856 : x
2. Step 2: Convert to fraction form
   74,144/111,856 = 111,856/x
3. Step 3: Cross multiply
   74,144x = 111,856 × 111,856
4. Step 4: Simplify right side
   74,144x = 12,511,764,736
5. Step 5: Solve for x
   x = 12,511,764,736/74,144
6. Step 6: Final answer
   x = 168,749.52