Finding the Third Proportional to 83,444 and 173,794

Step by Step Solution

1. Step 1: Write the proportion equation
   83,444 : 173,794 = 173,794 : x
2. Step 2: Convert to fraction form
   83,444/173,794 = 173,794/x
3. Step 3: Cross multiply
   83,444x = 173,794 × 173,794
4. Step 4: Simplify right side
   83,444x = 30,204,354,436
5. Step 5: Solve for x
   x = 30,204,354,436/83,444
6. Step 6: Final answer
   x = 361,971.56