Finding the Third Proportional to 82,326 and 179,718

Step by Step Solution

1. Step 1: Write the proportion equation
   82,326 : 179,718 = 179,718 : x
2. Step 2: Convert to fraction form
   82,326/179,718 = 179,718/x
3. Step 3: Cross multiply
   82,326x = 179,718 × 179,718
4. Step 4: Simplify right side
   82,326x = 32,298,559,524
5. Step 5: Solve for x
   x = 32,298,559,524/82,326
6. Step 6: Final answer
   x = 392,325.14