Finding the Third Proportional to 82,656 and 179,046

Step by Step Solution

1. Step 1: Write the proportion equation
   82,656 : 179,046 = 179,046 : x
2. Step 2: Convert to fraction form
   82,656/179,046 = 179,046/x
3. Step 3: Cross multiply
   82,656x = 179,046 × 179,046
4. Step 4: Simplify right side
   82,656x = 32,057,470,116
5. Step 5: Solve for x
   x = 32,057,470,116/82,656
6. Step 6: Final answer
   x = 387,842.02