Finding the Third Proportional to 51,150 and 105,852

Step by Step Solution

1. Step 1: Write the proportion equation
   51,150 : 105,852 = 105,852 : x
2. Step 2: Convert to fraction form
   51,150/105,852 = 105,852/x
3. Step 3: Cross multiply
   51,150x = 105,852 × 105,852
4. Step 4: Simplify right side
   51,150x = 11,204,645,904
5. Step 5: Solve for x
   x = 11,204,645,904/51,150
6. Step 6: Final answer
   x = 219,054.66