Finding the Third Proportional to 82,391 and 179,884

Step by Step Solution

1. Step 1: Write the proportion equation
   82,391 : 179,884 = 179,884 : x
2. Step 2: Convert to fraction form
   82,391/179,884 = 179,884/x
3. Step 3: Cross multiply
   82,391x = 179,884 × 179,884
4. Step 4: Simplify right side
   82,391x = 32,358,253,456
5. Step 5: Solve for x
   x = 32,358,253,456/82,391
6. Step 6: Final answer
   x = 392,740.15