Finding the Third Proportional to 78,340.50 and 160,830

Step by Step Solution

1. Step 1: Write the proportion equation
   78,340.50 : 160,830 = 160,830 : x
2. Step 2: Convert to fraction form
   78,340.50/160,830 = 160,830/x
3. Step 3: Cross multiply
   78,340.50x = 160,830 × 160,830
4. Step 4: Simplify right side
   78,340.50x = 25,866,288,900
5. Step 5: Solve for x
   x = 25,866,288,900/78,340.50
6. Step 6: Final answer
   x = 330,177.74