Finding the Third Proportional to 82,635 and 179,004

Step by Step Solution

1. Step 1: Write the proportion equation
   82,635 : 179,004 = 179,004 : x
2. Step 2: Convert to fraction form
   82,635/179,004 = 179,004/x
3. Step 3: Cross multiply
   82,635x = 179,004 × 179,004
4. Step 4: Simplify right side
   82,635x = 32,042,432,016
5. Step 5: Solve for x
   x = 32,042,432,016/82,635
6. Step 6: Final answer
   x = 387,758.60