Finding the Third Proportional to 80,793 and 174,491

Step by Step Solution

1. Step 1: Write the proportion equation
   80,793 : 174,491 = 174,491 : x
2. Step 2: Convert to fraction form
   80,793/174,491 = 174,491/x
3. Step 3: Cross multiply
   80,793x = 174,491 × 174,491
4. Step 4: Simplify right side
   80,793x = 30,447,109,081
5. Step 5: Solve for x
   x = 30,447,109,081/80,793
6. Step 6: Final answer
   x = 376,853.31