Finding the Third Proportional to 83,436 and 172,783

Step by Step Solution

1. Step 1: Write the proportion equation
   83,436 : 172,783 = 172,783 : x
2. Step 2: Convert to fraction form
   83,436/172,783 = 172,783/x
3. Step 3: Cross multiply
   83,436x = 172,783 × 172,783
4. Step 4: Simplify right side
   83,436x = 29,853,965,089
5. Step 5: Solve for x
   x = 29,853,965,089/83,436
6. Step 6: Final answer
   x = 357,806.76