Finding the Third Proportional to 50,128 and 116,559

Step by Step Solution

1. Step 1: Write the proportion equation
   50,128 : 116,559 = 116,559 : x
2. Step 2: Convert to fraction form
   50,128/116,559 = 116,559/x
3. Step 3: Cross multiply
   50,128x = 116,559 × 116,559
4. Step 4: Simplify right side
   50,128x = 13,586,000,481
5. Step 5: Solve for x
   x = 13,586,000,481/50,128
6. Step 6: Final answer
   x = 271,026.18