Finding the Third Proportional to 82,363 and 179,830

Step by Step Solution

1. Step 1: Write the proportion equation
   82,363 : 179,830 = 179,830 : x
2. Step 2: Convert to fraction form
   82,363/179,830 = 179,830/x
3. Step 3: Cross multiply
   82,363x = 179,830 × 179,830
4. Step 4: Simplify right side
   82,363x = 32,338,828,900
5. Step 5: Solve for x
   x = 32,338,828,900/82,363
6. Step 6: Final answer
   x = 392,637.82