Finding the Third Proportional to 80,498 and 171,390

Step by Step Solution

1. Step 1: Write the proportion equation
   80,498 : 171,390 = 171,390 : x
2. Step 2: Convert to fraction form
   80,498/171,390 = 171,390/x
3. Step 3: Cross multiply
   80,498x = 171,390 × 171,390
4. Step 4: Simplify right side
   80,498x = 29,374,532,100
5. Step 5: Solve for x
   x = 29,374,532,100/80,498
6. Step 6: Final answer
   x = 364,910.09