Finding the Third Proportional to 47,856 and 111,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 111,774.75 = 111,774.75 : x
2. Step 2: Convert to fraction form
   47,856/111,774.75 = 111,774.75/x
3. Step 3: Cross multiply
   47,856x = 111,774.75 × 111,774.75
4. Step 4: Simplify right side
   47,856x = 12,493,594,737.56
5. Step 5: Solve for x
   x = 12,493,594,737.56/47,856
6. Step 6: Final answer
   x = 261,066.42