Finding the Third Proportional to 82,363 and 180,485

Step by Step Solution

1. Step 1: Write the proportion equation
   82,363 : 180,485 = 180,485 : x
2. Step 2: Convert to fraction form
   82,363/180,485 = 180,485/x
3. Step 3: Cross multiply
   82,363x = 180,485 × 180,485
4. Step 4: Simplify right side
   82,363x = 32,574,835,225
5. Step 5: Solve for x
   x = 32,574,835,225/82,363
6. Step 6: Final answer
   x = 395,503.26