Finding the Third Proportional to 82,228 and 179,310

Step by Step Solution

1. Step 1: Write the proportion equation
   82,228 : 179,310 = 179,310 : x
2. Step 2: Convert to fraction form
   82,228/179,310 = 179,310/x
3. Step 3: Cross multiply
   82,228x = 179,310 × 179,310
4. Step 4: Simplify right side
   82,228x = 32,152,076,100
5. Step 5: Solve for x
   x = 32,152,076,100/82,228
6. Step 6: Final answer
   x = 391,011.29