Finding the Third Proportional to 47,856 and 111,776

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 111,776 = 111,776 : x
2. Step 2: Convert to fraction form
   47,856/111,776 = 111,776/x
3. Step 3: Cross multiply
   47,856x = 111,776 × 111,776
4. Step 4: Simplify right side
   47,856x = 12,493,874,176
5. Step 5: Solve for x
   x = 12,493,874,176/47,856
6. Step 6: Final answer
   x = 261,072.26