Finding the Third Proportional to 82,367 and 179,838

Step by Step Solution

1. Step 1: Write the proportion equation
   82,367 : 179,838 = 179,838 : x
2. Step 2: Convert to fraction form
   82,367/179,838 = 179,838/x
3. Step 3: Cross multiply
   82,367x = 179,838 × 179,838
4. Step 4: Simplify right side
   82,367x = 32,341,706,244
5. Step 5: Solve for x
   x = 32,341,706,244/82,367
6. Step 6: Final answer
   x = 392,653.69