Finding the Third Proportional to 50,114 and 116,533

Step by Step Solution

1. Step 1: Write the proportion equation
   50,114 : 116,533 = 116,533 : x
2. Step 2: Convert to fraction form
   50,114/116,533 = 116,533/x
3. Step 3: Cross multiply
   50,114x = 116,533 × 116,533
4. Step 4: Simplify right side
   50,114x = 13,579,940,089
5. Step 5: Solve for x
   x = 13,579,940,089/50,114
6. Step 6: Final answer
   x = 270,980.97