Finding the Third Proportional to 82,396 and 180,834

Step by Step Solution

1. Step 1: Write the proportion equation
   82,396 : 180,834 = 180,834 : x
2. Step 2: Convert to fraction form
   82,396/180,834 = 180,834/x
3. Step 3: Cross multiply
   82,396x = 180,834 × 180,834
4. Step 4: Simplify right side
   82,396x = 32,700,935,556
5. Step 5: Solve for x
   x = 32,700,935,556/82,396
6. Step 6: Final answer
   x = 396,875.28