Finding the Third Proportional to 82,883 and 180,947

Step by Step Solution

1. Step 1: Write the proportion equation
   82,883 : 180,947 = 180,947 : x
2. Step 2: Convert to fraction form
   82,883/180,947 = 180,947/x
3. Step 3: Cross multiply
   82,883x = 180,947 × 180,947
4. Step 4: Simplify right side
   82,883x = 32,741,816,809
5. Step 5: Solve for x
   x = 32,741,816,809/82,883
6. Step 6: Final answer
   x = 395,036.58