Finding the Third Proportional to 50,085 and 105,759

Step by Step Solution

1. Step 1: Write the proportion equation
   50,085 : 105,759 = 105,759 : x
2. Step 2: Convert to fraction form
   50,085/105,759 = 105,759/x
3. Step 3: Cross multiply
   50,085x = 105,759 × 105,759
4. Step 4: Simplify right side
   50,085x = 11,184,966,081
5. Step 5: Solve for x
   x = 11,184,966,081/50,085
6. Step 6: Final answer
   x = 223,319.68