Finding the Third Proportional to 78,166 and 159,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,166 : 159,096 = 159,096 : x
2. Step 2: Convert to fraction form
   78,166/159,096 = 159,096/x
3. Step 3: Cross multiply
   78,166x = 159,096 × 159,096
4. Step 4: Simplify right side
   78,166x = 25,311,537,216
5. Step 5: Solve for x
   x = 25,311,537,216/78,166
6. Step 6: Final answer
   x = 323,817.74