Finding the Third Proportional to 78,327 and 171,666

Step by Step Solution

1. Step 1: Write the proportion equation
   78,327 : 171,666 = 171,666 : x
2. Step 2: Convert to fraction form
   78,327/171,666 = 171,666/x
3. Step 3: Cross multiply
   78,327x = 171,666 × 171,666
4. Step 4: Simplify right side
   78,327x = 29,469,215,556
5. Step 5: Solve for x
   x = 29,469,215,556/78,327
6. Step 6: Final answer
   x = 376,233.17