Finding the Third Proportional to 78,226 and 160,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,226 : 160,096 = 160,096 : x
2. Step 2: Convert to fraction form
   78,226/160,096 = 160,096/x
3. Step 3: Cross multiply
   78,226x = 160,096 × 160,096
4. Step 4: Simplify right side
   78,226x = 25,630,729,216
5. Step 5: Solve for x
   x = 25,630,729,216/78,226
6. Step 6: Final answer
   x = 327,649.75