Finding the Third Proportional to 80,408 and 171,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,408 : 171,215.50 = 171,215.50 : x
2. Step 2: Convert to fraction form
   80,408/171,215.50 = 171,215.50/x
3. Step 3: Cross multiply
   80,408x = 171,215.50 × 171,215.50
4. Step 4: Simplify right side
   80,408x = 29,314,747,440.25
5. Step 5: Solve for x
   x = 29,314,747,440.25/80,408
6. Step 6: Final answer
   x = 364,575.01