Finding the Third Proportional to 51,858 and 111,084

Step by Step Solution

1. Step 1: Write the proportion equation
   51,858 : 111,084 = 111,084 : x
2. Step 2: Convert to fraction form
   51,858/111,084 = 111,084/x
3. Step 3: Cross multiply
   51,858x = 111,084 × 111,084
4. Step 4: Simplify right side
   51,858x = 12,339,655,056
5. Step 5: Solve for x
   x = 12,339,655,056/51,858
6. Step 6: Final answer
   x = 237,950.85