Finding the Third Proportional to 82,302 and 179,814

Step by Step Solution

1. Step 1: Write the proportion equation
   82,302 : 179,814 = 179,814 : x
2. Step 2: Convert to fraction form
   82,302/179,814 = 179,814/x
3. Step 3: Cross multiply
   82,302x = 179,814 × 179,814
4. Step 4: Simplify right side
   82,302x = 32,333,074,596
5. Step 5: Solve for x
   x = 32,333,074,596/82,302
6. Step 6: Final answer
   x = 392,858.92