Finding the Third Proportional to 82,796 and 179,998

Step by Step Solution

1. Step 1: Write the proportion equation
   82,796 : 179,998 = 179,998 : x
2. Step 2: Convert to fraction form
   82,796/179,998 = 179,998/x
3. Step 3: Cross multiply
   82,796x = 179,998 × 179,998
4. Step 4: Simplify right side
   82,796x = 32,399,280,004
5. Step 5: Solve for x
   x = 32,399,280,004/82,796
6. Step 6: Final answer
   x = 391,314.56