Finding the Third Proportional to 78,564 and 161,736

Step by Step Solution

1. Step 1: Write the proportion equation
   78,564 : 161,736 = 161,736 : x
2. Step 2: Convert to fraction form
   78,564/161,736 = 161,736/x
3. Step 3: Cross multiply
   78,564x = 161,736 × 161,736
4. Step 4: Simplify right side
   78,564x = 26,158,533,696
5. Step 5: Solve for x
   x = 26,158,533,696/78,564
6. Step 6: Final answer
   x = 332,958.27