Finding the Third Proportional to 80,665 and 175,323

Step by Step Solution

1. Step 1: Write the proportion equation
   80,665 : 175,323 = 175,323 : x
2. Step 2: Convert to fraction form
   80,665/175,323 = 175,323/x
3. Step 3: Cross multiply
   80,665x = 175,323 × 175,323
4. Step 4: Simplify right side
   80,665x = 30,738,154,329
5. Step 5: Solve for x
   x = 30,738,154,329/80,665
6. Step 6: Final answer
   x = 381,059.37