Finding the Third Proportional to 80,614 and 175,564

Step by Step Solution

1. Step 1: Write the proportion equation
   80,614 : 175,564 = 175,564 : x
2. Step 2: Convert to fraction form
   80,614/175,564 = 175,564/x
3. Step 3: Cross multiply
   80,614x = 175,564 × 175,564
4. Step 4: Simplify right side
   80,614x = 30,822,718,096
5. Step 5: Solve for x
   x = 30,822,718,096/80,614
6. Step 6: Final answer
   x = 382,349.44