Finding the Third Proportional to 80,034 and 171,928

Step by Step Solution

1. Step 1: Write the proportion equation
   80,034 : 171,928 = 171,928 : x
2. Step 2: Convert to fraction form
   80,034/171,928 = 171,928/x
3. Step 3: Cross multiply
   80,034x = 171,928 × 171,928
4. Step 4: Simplify right side
   80,034x = 29,559,237,184
5. Step 5: Solve for x
   x = 29,559,237,184/80,034
6. Step 6: Final answer
   x = 369,333.50