Finding the Third Proportional to 80,256 and 171,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,256 : 171,622.50 = 171,622.50 : x
2. Step 2: Convert to fraction form
   80,256/171,622.50 = 171,622.50/x
3. Step 3: Cross multiply
   80,256x = 171,622.50 × 171,622.50
4. Step 4: Simplify right side
   80,256x = 29,454,282,506.25
5. Step 5: Solve for x
   x = 29,454,282,506.25/80,256
6. Step 6: Final answer
   x = 367,004.12