Finding the Third Proportional to 80,418 and 171,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,418 : 171,523.50 = 171,523.50 : x
2. Step 2: Convert to fraction form
   80,418/171,523.50 = 171,523.50/x
3. Step 3: Cross multiply
   80,418x = 171,523.50 × 171,523.50
4. Step 4: Simplify right side
   80,418x = 29,420,311,052.25
5. Step 5: Solve for x
   x = 29,420,311,052.25/80,418
6. Step 6: Final answer
   x = 365,842.36