Finding the Third Proportional to 78,158 and 159,078

Step by Step Solution

1. Step 1: Write the proportion equation
   78,158 : 159,078 = 159,078 : x
2. Step 2: Convert to fraction form
   78,158/159,078 = 159,078/x
3. Step 3: Cross multiply
   78,158x = 159,078 × 159,078
4. Step 4: Simplify right side
   78,158x = 25,305,810,084
5. Step 5: Solve for x
   x = 25,305,810,084/78,158
6. Step 6: Final answer
   x = 323,777.61