Finding the Third Proportional to 82,838.50 and 180,341

Step by Step Solution

1. Step 1: Write the proportion equation
   82,838.50 : 180,341 = 180,341 : x
2. Step 2: Convert to fraction form
   82,838.50/180,341 = 180,341/x
3. Step 3: Cross multiply
   82,838.50x = 180,341 × 180,341
4. Step 4: Simplify right side
   82,838.50x = 32,522,876,281
5. Step 5: Solve for x
   x = 32,522,876,281/82,838.50
6. Step 6: Final answer
   x = 392,605.81