Finding the Third Proportional to 117,966 and 256,665

Step by Step Solution

1. Step 1: Write the proportion equation
   117,966 : 256,665 = 256,665 : x
2. Step 2: Convert to fraction form
   117,966/256,665 = 256,665/x
3. Step 3: Cross multiply
   117,966x = 256,665 × 256,665
4. Step 4: Simplify right side
   117,966x = 65,876,922,225
5. Step 5: Solve for x
   x = 65,876,922,225/117,966
6. Step 6: Final answer
   x = 558,439.91