Finding the Third Proportional to 78,587 and 160,805

Step by Step Solution

1. Step 1: Write the proportion equation
   78,587 : 160,805 = 160,805 : x
2. Step 2: Convert to fraction form
   78,587/160,805 = 160,805/x
3. Step 3: Cross multiply
   78,587x = 160,805 × 160,805
4. Step 4: Simplify right side
   78,587x = 25,858,248,025
5. Step 5: Solve for x
   x = 25,858,248,025/78,587
6. Step 6: Final answer
   x = 329,039.77