Finding the Third Proportional to 78,349 and 160,870

Step by Step Solution

1. Step 1: Write the proportion equation
   78,349 : 160,870 = 160,870 : x
2. Step 2: Convert to fraction form
   78,349/160,870 = 160,870/x
3. Step 3: Cross multiply
   78,349x = 160,870 × 160,870
4. Step 4: Simplify right side
   78,349x = 25,879,156,900
5. Step 5: Solve for x
   x = 25,879,156,900/78,349
6. Step 6: Final answer
   x = 330,306.15