Finding the Third Proportional to 105,314 and 171,944

Step by Step Solution

1. Step 1: Write the proportion equation
   105,314 : 171,944 = 171,944 : x
2. Step 2: Convert to fraction form
   105,314/171,944 = 171,944/x
3. Step 3: Cross multiply
   105,314x = 171,944 × 171,944
4. Step 4: Simplify right side
   105,314x = 29,564,739,136
5. Step 5: Solve for x
   x = 29,564,739,136/105,314
6. Step 6: Final answer
   x = 280,729.43