Finding the Third Proportional to 80,203.50 and 173,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,203.50 : 173,638.50 = 173,638.50 : x
2. Step 2: Convert to fraction form
   80,203.50/173,638.50 = 173,638.50/x
3. Step 3: Cross multiply
   80,203.50x = 173,638.50 × 173,638.50
4. Step 4: Simplify right side
   80,203.50x = 30,150,328,682.25
5. Step 5: Solve for x
   x = 30,150,328,682.25/80,203.50
6. Step 6: Final answer
   x = 375,922.85