Finding the Third Proportional to 50,536 and 110,906

Step by Step Solution

1. Step 1: Write the proportion equation
   50,536 : 110,906 = 110,906 : x
2. Step 2: Convert to fraction form
   50,536/110,906 = 110,906/x
3. Step 3: Cross multiply
   50,536x = 110,906 × 110,906
4. Step 4: Simplify right side
   50,536x = 12,300,140,836
5. Step 5: Solve for x
   x = 12,300,140,836/50,536
6. Step 6: Final answer
   x = 243,393.64