Finding the Third Proportional to 80,191 and 174,041

Step by Step Solution

1. Step 1: Write the proportion equation
   80,191 : 174,041 = 174,041 : x
2. Step 2: Convert to fraction form
   80,191/174,041 = 174,041/x
3. Step 3: Cross multiply
   80,191x = 174,041 × 174,041
4. Step 4: Simplify right side
   80,191x = 30,290,269,681
5. Step 5: Solve for x
   x = 30,290,269,681/80,191
6. Step 6: Final answer
   x = 377,726.55