Finding the Third Proportional to 80,783 and 172,563

Step by Step Solution

1. Step 1: Write the proportion equation
   80,783 : 172,563 = 172,563 : x
2. Step 2: Convert to fraction form
   80,783/172,563 = 172,563/x
3. Step 3: Cross multiply
   80,783x = 172,563 × 172,563
4. Step 4: Simplify right side
   80,783x = 29,777,988,969
5. Step 5: Solve for x
   x = 29,777,988,969/80,783
6. Step 6: Final answer
   x = 368,617.02