Finding the Third Proportional to 80,453.25 and 171,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,453.25 : 171,589.50 = 171,589.50 : x
2. Step 2: Convert to fraction form
   80,453.25/171,589.50 = 171,589.50/x
3. Step 3: Cross multiply
   80,453.25x = 171,589.50 × 171,589.50
4. Step 4: Simplify right side
   80,453.25x = 29,442,956,510.25
5. Step 5: Solve for x
   x = 29,442,956,510.25/80,453.25
6. Step 6: Final answer
   x = 365,963.54