Finding the Third Proportional to 80,646 and 175,096

Step by Step Solution

1. Step 1: Write the proportion equation
   80,646 : 175,096 = 175,096 : x
2. Step 2: Convert to fraction form
   80,646/175,096 = 175,096/x
3. Step 3: Cross multiply
   80,646x = 175,096 × 175,096
4. Step 4: Simplify right side
   80,646x = 30,658,609,216
5. Step 5: Solve for x
   x = 30,658,609,216/80,646
6. Step 6: Final answer
   x = 380,162.80