Finding the Third Proportional to 106,765.50 and 159,852

Step by Step Solution

1. Step 1: Write the proportion equation
   106,765.50 : 159,852 = 159,852 : x
2. Step 2: Convert to fraction form
   106,765.50/159,852 = 159,852/x
3. Step 3: Cross multiply
   106,765.50x = 159,852 × 159,852
4. Step 4: Simplify right side
   106,765.50x = 25,552,661,904
5. Step 5: Solve for x
   x = 25,552,661,904/106,765.50
6. Step 6: Final answer
   x = 239,334.45