Finding the Third Proportional to 78,186 and 159,144

Step by Step Solution

1. Step 1: Write the proportion equation
   78,186 : 159,144 = 159,144 : x
2. Step 2: Convert to fraction form
   78,186/159,144 = 159,144/x
3. Step 3: Cross multiply
   78,186x = 159,144 × 159,144
4. Step 4: Simplify right side
   78,186x = 25,326,812,736
5. Step 5: Solve for x
   x = 25,326,812,736/78,186
6. Step 6: Final answer
   x = 323,930.28