Finding the Third Proportional to 82,199 and 179,618

Step by Step Solution

1. Step 1: Write the proportion equation
   82,199 : 179,618 = 179,618 : x
2. Step 2: Convert to fraction form
   82,199/179,618 = 179,618/x
3. Step 3: Cross multiply
   82,199x = 179,618 × 179,618
4. Step 4: Simplify right side
   82,199x = 32,262,625,924
5. Step 5: Solve for x
   x = 32,262,625,924/82,199
6. Step 6: Final answer
   x = 392,494.14