Finding the Third Proportional to 82,226 and 179,670

Step by Step Solution

1. Step 1: Write the proportion equation
   82,226 : 179,670 = 179,670 : x
2. Step 2: Convert to fraction form
   82,226/179,670 = 179,670/x
3. Step 3: Cross multiply
   82,226x = 179,670 × 179,670
4. Step 4: Simplify right side
   82,226x = 32,281,308,900
5. Step 5: Solve for x
   x = 32,281,308,900/82,226
6. Step 6: Final answer
   x = 392,592.48