Finding the Third Proportional to 81,336 and 171,540

Step by Step Solution

1. Step 1: Write the proportion equation
   81,336 : 171,540 = 171,540 : x
2. Step 2: Convert to fraction form
   81,336/171,540 = 171,540/x
3. Step 3: Cross multiply
   81,336x = 171,540 × 171,540
4. Step 4: Simplify right side
   81,336x = 29,425,971,600
5. Step 5: Solve for x
   x = 29,425,971,600/81,336
6. Step 6: Final answer
   x = 361,782.87