Finding the Third Proportional to 82,008 and 179,334

Step by Step Solution

1. Step 1: Write the proportion equation
   82,008 : 179,334 = 179,334 : x
2. Step 2: Convert to fraction form
   82,008/179,334 = 179,334/x
3. Step 3: Cross multiply
   82,008x = 179,334 × 179,334
4. Step 4: Simplify right side
   82,008x = 32,160,683,556
5. Step 5: Solve for x
   x = 32,160,683,556/82,008
6. Step 6: Final answer
   x = 392,165.20