Finding the Third Proportional to 51,817 and 111,182

Step by Step Solution

1. Step 1: Write the proportion equation
   51,817 : 111,182 = 111,182 : x
2. Step 2: Convert to fraction form
   51,817/111,182 = 111,182/x
3. Step 3: Cross multiply
   51,817x = 111,182 × 111,182
4. Step 4: Simplify right side
   51,817x = 12,361,437,124
5. Step 5: Solve for x
   x = 12,361,437,124/51,817
6. Step 6: Final answer
   x = 238,559.49