Finding the Third Proportional to 80,788 and 171,944

Step by Step Solution

1. Step 1: Write the proportion equation
   80,788 : 171,944 = 171,944 : x
2. Step 2: Convert to fraction form
   80,788/171,944 = 171,944/x
3. Step 3: Cross multiply
   80,788x = 171,944 × 171,944
4. Step 4: Simplify right side
   80,788x = 29,564,739,136
5. Step 5: Solve for x
   x = 29,564,739,136/80,788
6. Step 6: Final answer
   x = 365,954.59