Finding the Third Proportional to 50,110 and 116,523

Step by Step Solution

1. Step 1: Write the proportion equation
   50,110 : 116,523 = 116,523 : x
2. Step 2: Convert to fraction form
   50,110/116,523 = 116,523/x
3. Step 3: Cross multiply
   50,110x = 116,523 × 116,523
4. Step 4: Simplify right side
   50,110x = 13,577,609,529
5. Step 5: Solve for x
   x = 13,577,609,529/50,110
6. Step 6: Final answer
   x = 270,956.09