Finding the Third Proportional to 50,564 and 108,756

Step by Step Solution

1. Step 1: Write the proportion equation
   50,564 : 108,756 = 108,756 : x
2. Step 2: Convert to fraction form
   50,564/108,756 = 108,756/x
3. Step 3: Cross multiply
   50,564x = 108,756 × 108,756
4. Step 4: Simplify right side
   50,564x = 11,827,867,536
5. Step 5: Solve for x
   x = 11,827,867,536/50,564
6. Step 6: Final answer
   x = 233,918.75