Finding the Third Proportional to 51,159 and 111,806

Step by Step Solution

1. Step 1: Write the proportion equation
   51,159 : 111,806 = 111,806 : x
2. Step 2: Convert to fraction form
   51,159/111,806 = 111,806/x
3. Step 3: Cross multiply
   51,159x = 111,806 × 111,806
4. Step 4: Simplify right side
   51,159x = 12,500,581,636
5. Step 5: Solve for x
   x = 12,500,581,636/51,159
6. Step 6: Final answer
   x = 244,347.65