Finding the Third Proportional to 80,397 and 175,080

Step by Step Solution

1. Step 1: Write the proportion equation
   80,397 : 175,080 = 175,080 : x
2. Step 2: Convert to fraction form
   80,397/175,080 = 175,080/x
3. Step 3: Cross multiply
   80,397x = 175,080 × 175,080
4. Step 4: Simplify right side
   80,397x = 30,653,006,400
5. Step 5: Solve for x
   x = 30,653,006,400/80,397
6. Step 6: Final answer
   x = 381,270.53