Finding the Third Proportional to 83,563 and 172,661

Step by Step Solution

1. Step 1: Write the proportion equation
   83,563 : 172,661 = 172,661 : x
2. Step 2: Convert to fraction form
   83,563/172,661 = 172,661/x
3. Step 3: Cross multiply
   83,563x = 172,661 × 172,661
4. Step 4: Simplify right side
   83,563x = 29,811,820,921
5. Step 5: Solve for x
   x = 29,811,820,921/83,563
6. Step 6: Final answer
   x = 356,758.62