Finding the Third Proportional to 81,839 and 179,293

Step by Step Solution

1. Step 1: Write the proportion equation
   81,839 : 179,293 = 179,293 : x
2. Step 2: Convert to fraction form
   81,839/179,293 = 179,293/x
3. Step 3: Cross multiply
   81,839x = 179,293 × 179,293
4. Step 4: Simplify right side
   81,839x = 32,145,979,849
5. Step 5: Solve for x
   x = 32,145,979,849/81,839
6. Step 6: Final answer
   x = 392,795.36