Finding the Third Proportional to 82,425 and 179,949

Step by Step Solution

1. Step 1: Write the proportion equation
   82,425 : 179,949 = 179,949 : x
2. Step 2: Convert to fraction form
   82,425/179,949 = 179,949/x
3. Step 3: Cross multiply
   82,425x = 179,949 × 179,949
4. Step 4: Simplify right side
   82,425x = 32,381,642,601
5. Step 5: Solve for x
   x = 32,381,642,601/82,425
6. Step 6: Final answer
   x = 392,861.91