Finding the Third Proportional to 83,578 and 182,398

Step by Step Solution

1. Step 1: Write the proportion equation
   83,578 : 182,398 = 182,398 : x
2. Step 2: Convert to fraction form
   83,578/182,398 = 182,398/x
3. Step 3: Cross multiply
   83,578x = 182,398 × 182,398
4. Step 4: Simplify right side
   83,578x = 33,269,030,404
5. Step 5: Solve for x
   x = 33,269,030,404/83,578
6. Step 6: Final answer
   x = 398,059.66