Finding the Third Proportional to 59,096 and 127,665

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 127,665 = 127,665 : x
2. Step 2: Convert to fraction form
   59,096/127,665 = 127,665/x
3. Step 3: Cross multiply
   59,096x = 127,665 × 127,665
4. Step 4: Simplify right side
   59,096x = 16,298,352,225
5. Step 5: Solve for x
   x = 16,298,352,225/59,096
6. Step 6: Final answer
   x = 275,794.51