Finding the Third Proportional to 50,494 and 106,064

Step by Step Solution

1. Step 1: Write the proportion equation
   50,494 : 106,064 = 106,064 : x
2. Step 2: Convert to fraction form
   50,494/106,064 = 106,064/x
3. Step 3: Cross multiply
   50,494x = 106,064 × 106,064
4. Step 4: Simplify right side
   50,494x = 11,249,572,096
5. Step 5: Solve for x
   x = 11,249,572,096/50,494
6. Step 6: Final answer
   x = 222,790.27