Finding the Third Proportional to 50,422 and 109,916

Step by Step Solution

1. Step 1: Write the proportion equation
   50,422 : 109,916 = 109,916 : x
2. Step 2: Convert to fraction form
   50,422/109,916 = 109,916/x
3. Step 3: Cross multiply
   50,422x = 109,916 × 109,916
4. Step 4: Simplify right side
   50,422x = 12,081,527,056
5. Step 5: Solve for x
   x = 12,081,527,056/50,422
6. Step 6: Final answer
   x = 239,608.25