Finding the Third Proportional to 50,111 and 116,529

Step by Step Solution

1. Step 1: Write the proportion equation
   50,111 : 116,529 = 116,529 : x
2. Step 2: Convert to fraction form
   50,111/116,529 = 116,529/x
3. Step 3: Cross multiply
   50,111x = 116,529 × 116,529
4. Step 4: Simplify right side
   50,111x = 13,579,007,841
5. Step 5: Solve for x
   x = 13,579,007,841/50,111
6. Step 6: Final answer
   x = 270,978.58