Finding the Third Proportional to 51,867 and 105,636

Step by Step Solution

1. Step 1: Write the proportion equation
   51,867 : 105,636 = 105,636 : x
2. Step 2: Convert to fraction form
   51,867/105,636 = 105,636/x
3. Step 3: Cross multiply
   51,867x = 105,636 × 105,636
4. Step 4: Simplify right side
   51,867x = 11,158,964,496
5. Step 5: Solve for x
   x = 11,158,964,496/51,867
6. Step 6: Final answer
   x = 215,145.75