Finding the Third Proportional to 80,394 and 174,622

Step by Step Solution

1. Step 1: Write the proportion equation
   80,394 : 174,622 = 174,622 : x
2. Step 2: Convert to fraction form
   80,394/174,622 = 174,622/x
3. Step 3: Cross multiply
   80,394x = 174,622 × 174,622
4. Step 4: Simplify right side
   80,394x = 30,492,842,884
5. Step 5: Solve for x
   x = 30,492,842,884/80,394
6. Step 6: Final answer
   x = 379,292.52