Finding the Third Proportional to 80,172 and 173,182

Step by Step Solution

1. Step 1: Write the proportion equation
   80,172 : 173,182 = 173,182 : x
2. Step 2: Convert to fraction form
   80,172/173,182 = 173,182/x
3. Step 3: Cross multiply
   80,172x = 173,182 × 173,182
4. Step 4: Simplify right side
   80,172x = 29,992,005,124
5. Step 5: Solve for x
   x = 29,992,005,124/80,172
6. Step 6: Final answer
   x = 374,095.76