Finding the Third Proportional to 83,830 and 180,728

Step by Step Solution

1. Step 1: Write the proportion equation
   83,830 : 180,728 = 180,728 : x
2. Step 2: Convert to fraction form
   83,830/180,728 = 180,728/x
3. Step 3: Cross multiply
   83,830x = 180,728 × 180,728
4. Step 4: Simplify right side
   83,830x = 32,662,609,984
5. Step 5: Solve for x
   x = 32,662,609,984/83,830
6. Step 6: Final answer
   x = 389,629.13