Finding the Third Proportional to 80,808 and 171,984

Step by Step Solution

1. Step 1: Write the proportion equation
   80,808 : 171,984 = 171,984 : x
2. Step 2: Convert to fraction form
   80,808/171,984 = 171,984/x
3. Step 3: Cross multiply
   80,808x = 171,984 × 171,984
4. Step 4: Simplify right side
   80,808x = 29,578,496,256
5. Step 5: Solve for x
   x = 29,578,496,256/80,808
6. Step 6: Final answer
   x = 366,034.26