Finding the Third Proportional to 50,466.38 and 106,164

Step by Step Solution

1. Step 1: Write the proportion equation
   50,466.38 : 106,164 = 106,164 : x
2. Step 2: Convert to fraction form
   50,466.38/106,164 = 106,164/x
3. Step 3: Cross multiply
   50,466.38x = 106,164 × 106,164
4. Step 4: Simplify right side
   50,466.38x = 11,270,794,896
5. Step 5: Solve for x
   x = 11,270,794,896/50,466.38
6. Step 6: Final answer
   x = 223,332.76