Finding the Third Proportional to 80,359 and 173,678

Step by Step Solution

1. Step 1: Write the proportion equation
   80,359 : 173,678 = 173,678 : x
2. Step 2: Convert to fraction form
   80,359/173,678 = 173,678/x
3. Step 3: Cross multiply
   80,359x = 173,678 × 173,678
4. Step 4: Simplify right side
   80,359x = 30,164,047,684
5. Step 5: Solve for x
   x = 30,164,047,684/80,359
6. Step 6: Final answer
   x = 375,366.14