Finding the Third Proportional to 47,823 and 111,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,823 : 111,696.75 = 111,696.75 : x
2. Step 2: Convert to fraction form
   47,823/111,696.75 = 111,696.75/x
3. Step 3: Cross multiply
   47,823x = 111,696.75 × 111,696.75
4. Step 4: Simplify right side
   47,823x = 12,476,163,960.56
5. Step 5: Solve for x
   x = 12,476,163,960.56/47,823
6. Step 6: Final answer
   x = 260,882.09