Finding the Third Proportional to 78,338 and 160,822

Step by Step Solution

1. Step 1: Write the proportion equation
   78,338 : 160,822 = 160,822 : x
2. Step 2: Convert to fraction form
   78,338/160,822 = 160,822/x
3. Step 3: Cross multiply
   78,338x = 160,822 × 160,822
4. Step 4: Simplify right side
   78,338x = 25,863,715,684
5. Step 5: Solve for x
   x = 25,863,715,684/78,338
6. Step 6: Final answer
   x = 330,155.43