Finding the Third Proportional to 83,771 and 182,086

Step by Step Solution

1. Step 1: Write the proportion equation
   83,771 : 182,086 = 182,086 : x
2. Step 2: Convert to fraction form
   83,771/182,086 = 182,086/x
3. Step 3: Cross multiply
   83,771x = 182,086 × 182,086
4. Step 4: Simplify right side
   83,771x = 33,155,311,396
5. Step 5: Solve for x
   x = 33,155,311,396/83,771
6. Step 6: Final answer
   x = 395,785.07