Finding the Third Proportional to 82,226 and 179,306

Step by Step Solution

1. Step 1: Write the proportion equation
   82,226 : 179,306 = 179,306 : x
2. Step 2: Convert to fraction form
   82,226/179,306 = 179,306/x
3. Step 3: Cross multiply
   82,226x = 179,306 × 179,306
4. Step 4: Simplify right side
   82,226x = 32,150,641,636
5. Step 5: Solve for x
   x = 32,150,641,636/82,226
6. Step 6: Final answer
   x = 391,003.35