Finding the Third Proportional to 75,105 and 160,871.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75,105 : 160,871.25 = 160,871.25 : x
2. Step 2: Convert to fraction form
   75,105/160,871.25 = 160,871.25/x
3. Step 3: Cross multiply
   75,105x = 160,871.25 × 160,871.25
4. Step 4: Simplify right side
   75,105x = 25,879,559,076.56
5. Step 5: Solve for x
   x = 25,879,559,076.56/75,105
6. Step 6: Final answer
   x = 344,578.38