Finding the Third Proportional to 82,840 and 179,680

Step by Step Solution

1. Step 1: Write the proportion equation
   82,840 : 179,680 = 179,680 : x
2. Step 2: Convert to fraction form
   82,840/179,680 = 179,680/x
3. Step 3: Cross multiply
   82,840x = 179,680 × 179,680
4. Step 4: Simplify right side
   82,840x = 32,284,902,400
5. Step 5: Solve for x
   x = 32,284,902,400/82,840
6. Step 6: Final answer
   x = 389,726.01