Finding the Third Proportional to 80,356 and 174,806

Step by Step Solution

1. Step 1: Write the proportion equation
   80,356 : 174,806 = 174,806 : x
2. Step 2: Convert to fraction form
   80,356/174,806 = 174,806/x
3. Step 3: Cross multiply
   80,356x = 174,806 × 174,806
4. Step 4: Simplify right side
   80,356x = 30,557,137,636
5. Step 5: Solve for x
   x = 30,557,137,636/80,356
6. Step 6: Final answer
   x = 380,272.01