Finding the Third Proportional to 82,727 and 179,449

Step by Step Solution

1. Step 1: Write the proportion equation
   82,727 : 179,449 = 179,449 : x
2. Step 2: Convert to fraction form
   82,727/179,449 = 179,449/x
3. Step 3: Cross multiply
   82,727x = 179,449 × 179,449
4. Step 4: Simplify right side
   82,727x = 32,201,943,601
5. Step 5: Solve for x
   x = 32,201,943,601/82,727
6. Step 6: Final answer
   x = 389,255.55