Finding the Third Proportional to 50,421 and 106,002

Step by Step Solution

1. Step 1: Write the proportion equation
   50,421 : 106,002 = 106,002 : x
2. Step 2: Convert to fraction form
   50,421/106,002 = 106,002/x
3. Step 3: Cross multiply
   50,421x = 106,002 × 106,002
4. Step 4: Simplify right side
   50,421x = 11,236,424,004
5. Step 5: Solve for x
   x = 11,236,424,004/50,421
6. Step 6: Final answer
   x = 222,852.07