Finding the Third Proportional to 82,222 and 179,822

Step by Step Solution

1. Step 1: Write the proportion equation
   82,222 : 179,822 = 179,822 : x
2. Step 2: Convert to fraction form
   82,222/179,822 = 179,822/x
3. Step 3: Cross multiply
   82,222x = 179,822 × 179,822
4. Step 4: Simplify right side
   82,222x = 32,335,951,684
5. Step 5: Solve for x
   x = 32,335,951,684/82,222
6. Step 6: Final answer
   x = 393,276.15