Finding the Third Proportional to 47,858 and 111,781

Step by Step Solution

1. Step 1: Write the proportion equation
   47,858 : 111,781 = 111,781 : x
2. Step 2: Convert to fraction form
   47,858/111,781 = 111,781/x
3. Step 3: Cross multiply
   47,858x = 111,781 × 111,781
4. Step 4: Simplify right side
   47,858x = 12,494,991,961
5. Step 5: Solve for x
   x = 12,494,991,961/47,858
6. Step 6: Final answer
   x = 261,084.71