Finding the Third Proportional to 83,041 and 168,538

Step by Step Solution

1. Step 1: Write the proportion equation
   83,041 : 168,538 = 168,538 : x
2. Step 2: Convert to fraction form
   83,041/168,538 = 168,538/x
3. Step 3: Cross multiply
   83,041x = 168,538 × 168,538
4. Step 4: Simplify right side
   83,041x = 28,405,057,444
5. Step 5: Solve for x
   x = 28,405,057,444/83,041
6. Step 6: Final answer
   x = 342,060.64