Finding the Third Proportional to 80,172 and 173,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,172 : 173,191.50 = 173,191.50 : x
2. Step 2: Convert to fraction form
   80,172/173,191.50 = 173,191.50/x
3. Step 3: Cross multiply
   80,172x = 173,191.50 × 173,191.50
4. Step 4: Simplify right side
   80,172x = 29,995,295,672.25
5. Step 5: Solve for x
   x = 29,995,295,672.25/80,172
6. Step 6: Final answer
   x = 374,136.80