Finding the Third Proportional to 83,619 and 180,036

Step by Step Solution

1. Step 1: Write the proportion equation
   83,619 : 180,036 = 180,036 : x
2. Step 2: Convert to fraction form
   83,619/180,036 = 180,036/x
3. Step 3: Cross multiply
   83,619x = 180,036 × 180,036
4. Step 4: Simplify right side
   83,619x = 32,412,961,296
5. Step 5: Solve for x
   x = 32,412,961,296/83,619
6. Step 6: Final answer
   x = 387,626.75