Finding the Third Proportional to 81,434 and 171,616

Step by Step Solution

1. Step 1: Write the proportion equation
   81,434 : 171,616 = 171,616 : x
2. Step 2: Convert to fraction form
   81,434/171,616 = 171,616/x
3. Step 3: Cross multiply
   81,434x = 171,616 × 171,616
4. Step 4: Simplify right side
   81,434x = 29,452,051,456
5. Step 5: Solve for x
   x = 29,452,051,456/81,434
6. Step 6: Final answer
   x = 361,667.75