Finding the Third Proportional to 82,689 and 181,578

Step by Step Solution

1. Step 1: Write the proportion equation
   82,689 : 181,578 = 181,578 : x
2. Step 2: Convert to fraction form
   82,689/181,578 = 181,578/x
3. Step 3: Cross multiply
   82,689x = 181,578 × 181,578
4. Step 4: Simplify right side
   82,689x = 32,970,570,084
5. Step 5: Solve for x
   x = 32,970,570,084/82,689
6. Step 6: Final answer
   x = 398,729.82