Finding the Third Proportional to 47,916 and 111,920

Step by Step Solution

1. Step 1: Write the proportion equation
   47,916 : 111,920 = 111,920 : x
2. Step 2: Convert to fraction form
   47,916/111,920 = 111,920/x
3. Step 3: Cross multiply
   47,916x = 111,920 × 111,920
4. Step 4: Simplify right side
   47,916x = 12,526,086,400
5. Step 5: Solve for x
   x = 12,526,086,400/47,916
6. Step 6: Final answer
   x = 261,417.61