Finding the Third Proportional to 81,466 and 173,684

Step by Step Solution

1. Step 1: Write the proportion equation
   81,466 : 173,684 = 173,684 : x
2. Step 2: Convert to fraction form
   81,466/173,684 = 173,684/x
3. Step 3: Cross multiply
   81,466x = 173,684 × 173,684
4. Step 4: Simplify right side
   81,466x = 30,166,131,856
5. Step 5: Solve for x
   x = 30,166,131,856/81,466
6. Step 6: Final answer
   x = 370,291.06