Finding the Third Proportional to 83,738 and 182,020

Step by Step Solution

1. Step 1: Write the proportion equation
   83,738 : 182,020 = 182,020 : x
2. Step 2: Convert to fraction form
   83,738/182,020 = 182,020/x
3. Step 3: Cross multiply
   83,738x = 182,020 × 182,020
4. Step 4: Simplify right side
   83,738x = 33,131,280,400
5. Step 5: Solve for x
   x = 33,131,280,400/83,738
6. Step 6: Final answer
   x = 395,654.07