Finding the Third Proportional to 83,180 and 180,016

Step by Step Solution

1. Step 1: Write the proportion equation
   83,180 : 180,016 = 180,016 : x
2. Step 2: Convert to fraction form
   83,180/180,016 = 180,016/x
3. Step 3: Cross multiply
   83,180x = 180,016 × 180,016
4. Step 4: Simplify right side
   83,180x = 32,405,760,256
5. Step 5: Solve for x
   x = 32,405,760,256/83,180
6. Step 6: Final answer
   x = 389,585.96