Finding the Third Proportional to 82,785 and 179,973

Step by Step Solution

1. Step 1: Write the proportion equation
   82,785 : 179,973 = 179,973 : x
2. Step 2: Convert to fraction form
   82,785/179,973 = 179,973/x
3. Step 3: Cross multiply
   82,785x = 179,973 × 179,973
4. Step 4: Simplify right side
   82,785x = 32,390,280,729
5. Step 5: Solve for x
   x = 32,390,280,729/82,785
6. Step 6: Final answer
   x = 391,257.85