Finding the Third Proportional to 50,356 and 107,084

Step by Step Solution

1. Step 1: Write the proportion equation
   50,356 : 107,084 = 107,084 : x
2. Step 2: Convert to fraction form
   50,356/107,084 = 107,084/x
3. Step 3: Cross multiply
   50,356x = 107,084 × 107,084
4. Step 4: Simplify right side
   50,356x = 11,466,983,056
5. Step 5: Solve for x
   x = 11,466,983,056/50,356
6. Step 6: Final answer
   x = 227,718.31