Finding the Third Proportional to 50,164 and 106,820

Step by Step Solution

1. Step 1: Write the proportion equation
   50,164 : 106,820 = 106,820 : x
2. Step 2: Convert to fraction form
   50,164/106,820 = 106,820/x
3. Step 3: Cross multiply
   50,164x = 106,820 × 106,820
4. Step 4: Simplify right side
   50,164x = 11,410,512,400
5. Step 5: Solve for x
   x = 11,410,512,400/50,164
6. Step 6: Final answer
   x = 227,464.17