Finding the Third Proportional to 80,136 and 171,392

Step by Step Solution

1. Step 1: Write the proportion equation
   80,136 : 171,392 = 171,392 : x
2. Step 2: Convert to fraction form
   80,136/171,392 = 171,392/x
3. Step 3: Cross multiply
   80,136x = 171,392 × 171,392
4. Step 4: Simplify right side
   80,136x = 29,375,217,664
5. Step 5: Solve for x
   x = 29,375,217,664/80,136
6. Step 6: Final answer
   x = 366,567.06