Finding the Third Proportional to 78,329 and 160,806

Step by Step Solution

1. Step 1: Write the proportion equation
   78,329 : 160,806 = 160,806 : x
2. Step 2: Convert to fraction form
   78,329/160,806 = 160,806/x
3. Step 3: Cross multiply
   78,329x = 160,806 × 160,806
4. Step 4: Simplify right side
   78,329x = 25,858,569,636
5. Step 5: Solve for x
   x = 25,858,569,636/78,329
6. Step 6: Final answer
   x = 330,127.66