Finding the Third Proportional to 83,556 and 171,188

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 171,188 = 171,188 : x
2. Step 2: Convert to fraction form
   83,556/171,188 = 171,188/x
3. Step 3: Cross multiply
   83,556x = 171,188 × 171,188
4. Step 4: Simplify right side
   83,556x = 29,305,331,344
5. Step 5: Solve for x
   x = 29,305,331,344/83,556
6. Step 6: Final answer
   x = 350,726.83