Finding the Third Proportional to 83,086 and 181,400

Step by Step Solution

1. Step 1: Write the proportion equation
   83,086 : 181,400 = 181,400 : x
2. Step 2: Convert to fraction form
   83,086/181,400 = 181,400/x
3. Step 3: Cross multiply
   83,086x = 181,400 × 181,400
4. Step 4: Simplify right side
   83,086x = 32,905,960,000
5. Step 5: Solve for x
   x = 32,905,960,000/83,086
6. Step 6: Final answer
   x = 396,046.99