Finding the Third Proportional to 80,838 and 174,582

Step by Step Solution

1. Step 1: Write the proportion equation
   80,838 : 174,582 = 174,582 : x
2. Step 2: Convert to fraction form
   80,838/174,582 = 174,582/x
3. Step 3: Cross multiply
   80,838x = 174,582 × 174,582
4. Step 4: Simplify right side
   80,838x = 30,478,874,724
5. Step 5: Solve for x
   x = 30,478,874,724/80,838
6. Step 6: Final answer
   x = 377,036.48