Finding the Third Proportional to 51,182 and 111,106

Step by Step Solution

1. Step 1: Write the proportion equation
   51,182 : 111,106 = 111,106 : x
2. Step 2: Convert to fraction form
   51,182/111,106 = 111,106/x
3. Step 3: Cross multiply
   51,182x = 111,106 × 111,106
4. Step 4: Simplify right side
   51,182x = 12,344,543,236
5. Step 5: Solve for x
   x = 12,344,543,236/51,182
6. Step 6: Final answer
   x = 241,189.15