Finding the Third Proportional to 83,182 and 180,020

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182 : 180,020 = 180,020 : x
2. Step 2: Convert to fraction form
   83,182/180,020 = 180,020/x
3. Step 3: Cross multiply
   83,182x = 180,020 × 180,020
4. Step 4: Simplify right side
   83,182x = 32,407,200,400
5. Step 5: Solve for x
   x = 32,407,200,400/83,182
6. Step 6: Final answer
   x = 389,593.91