Finding the Third Proportional to 82,648 and 179,030

Step by Step Solution

1. Step 1: Write the proportion equation
   82,648 : 179,030 = 179,030 : x
2. Step 2: Convert to fraction form
   82,648/179,030 = 179,030/x
3. Step 3: Cross multiply
   82,648x = 179,030 × 179,030
4. Step 4: Simplify right side
   82,648x = 32,051,740,900
5. Step 5: Solve for x
   x = 32,051,740,900/82,648
6. Step 6: Final answer
   x = 387,810.24