Finding the Third Proportional to 82,665 and 179,346

Step by Step Solution

1. Step 1: Write the proportion equation
   82,665 : 179,346 = 179,346 : x
2. Step 2: Convert to fraction form
   82,665/179,346 = 179,346/x
3. Step 3: Cross multiply
   82,665x = 179,346 × 179,346
4. Step 4: Simplify right side
   82,665x = 32,164,987,716
5. Step 5: Solve for x
   x = 32,164,987,716/82,665
6. Step 6: Final answer
   x = 389,100.44