Finding the Third Proportional to 51,823 and 111,916

Step by Step Solution

1. Step 1: Write the proportion equation
   51,823 : 111,916 = 111,916 : x
2. Step 2: Convert to fraction form
   51,823/111,916 = 111,916/x
3. Step 3: Cross multiply
   51,823x = 111,916 × 111,916
4. Step 4: Simplify right side
   51,823x = 12,525,191,056
5. Step 5: Solve for x
   x = 12,525,191,056/51,823
6. Step 6: Final answer
   x = 241,691.74