Finding the Third Proportional to 50,634 and 117,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,634 : 117,222.75 = 117,222.75 : x
2. Step 2: Convert to fraction form
   50,634/117,222.75 = 117,222.75/x
3. Step 3: Cross multiply
   50,634x = 117,222.75 × 117,222.75
4. Step 4: Simplify right side
   50,634x = 13,741,173,117.56
5. Step 5: Solve for x
   x = 13,741,173,117.56/50,634
6. Step 6: Final answer
   x = 271,382.33