Finding the Third Proportional to 78,162 and 159,086

Step by Step Solution

1. Step 1: Write the proportion equation
   78,162 : 159,086 = 159,086 : x
2. Step 2: Convert to fraction form
   78,162/159,086 = 159,086/x
3. Step 3: Cross multiply
   78,162x = 159,086 × 159,086
4. Step 4: Simplify right side
   78,162x = 25,308,355,396
5. Step 5: Solve for x
   x = 25,308,355,396/78,162
6. Step 6: Final answer
   x = 323,793.60