Finding the Third Proportional to 80,271 and 173,664

Step by Step Solution

1. Step 1: Write the proportion equation
   80,271 : 173,664 = 173,664 : x
2. Step 2: Convert to fraction form
   80,271/173,664 = 173,664/x
3. Step 3: Cross multiply
   80,271x = 173,664 × 173,664
4. Step 4: Simplify right side
   80,271x = 30,159,184,896
5. Step 5: Solve for x
   x = 30,159,184,896/80,271
6. Step 6: Final answer
   x = 375,717.07