Finding the Third Proportional to 80,606 and 175,783

Step by Step Solution

1. Step 1: Write the proportion equation
   80,606 : 175,783 = 175,783 : x
2. Step 2: Convert to fraction form
   80,606/175,783 = 175,783/x
3. Step 3: Cross multiply
   80,606x = 175,783 × 175,783
4. Step 4: Simplify right side
   80,606x = 30,899,663,089
5. Step 5: Solve for x
   x = 30,899,663,089/80,606
6. Step 6: Final answer
   x = 383,341.97