Finding the Third Proportional to 82,468 and 179,656

Step by Step Solution

1. Step 1: Write the proportion equation
   82,468 : 179,656 = 179,656 : x
2. Step 2: Convert to fraction form
   82,468/179,656 = 179,656/x
3. Step 3: Cross multiply
   82,468x = 179,656 × 179,656
4. Step 4: Simplify right side
   82,468x = 32,276,278,336
5. Step 5: Solve for x
   x = 32,276,278,336/82,468
6. Step 6: Final answer
   x = 391,379.42