Finding the Third Proportional to 78,162 and 159,088

Step by Step Solution

1. Step 1: Write the proportion equation
   78,162 : 159,088 = 159,088 : x
2. Step 2: Convert to fraction form
   78,162/159,088 = 159,088/x
3. Step 3: Cross multiply
   78,162x = 159,088 × 159,088
4. Step 4: Simplify right side
   78,162x = 25,308,991,744
5. Step 5: Solve for x
   x = 25,308,991,744/78,162
6. Step 6: Final answer
   x = 323,801.74