Finding the Third Proportional to 82,434 and 168,783

Step by Step Solution

1. Step 1: Write the proportion equation
   82,434 : 168,783 = 168,783 : x
2. Step 2: Convert to fraction form
   82,434/168,783 = 168,783/x
3. Step 3: Cross multiply
   82,434x = 168,783 × 168,783
4. Step 4: Simplify right side
   82,434x = 28,487,701,089
5. Step 5: Solve for x
   x = 28,487,701,089/82,434
6. Step 6: Final answer
   x = 345,581.93