Finding the Third Proportional to 82,212 and 179,642

Step by Step Solution

1. Step 1: Write the proportion equation
   82,212 : 179,642 = 179,642 : x
2. Step 2: Convert to fraction form
   82,212/179,642 = 179,642/x
3. Step 3: Cross multiply
   82,212x = 179,642 × 179,642
4. Step 4: Simplify right side
   82,212x = 32,271,248,164
5. Step 5: Solve for x
   x = 32,271,248,164/82,212
6. Step 6: Final answer
   x = 392,536.96