Finding the Third Proportional to 47,871 and 111,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,871 : 111,820.50 = 111,820.50 : x
2. Step 2: Convert to fraction form
   47,871/111,820.50 = 111,820.50/x
3. Step 3: Cross multiply
   47,871x = 111,820.50 × 111,820.50
4. Step 4: Simplify right side
   47,871x = 12,503,824,220.25
5. Step 5: Solve for x
   x = 12,503,824,220.25/47,871
6. Step 6: Final answer
   x = 261,198.31