Finding the Third Proportional to 50,746 and 108,116

Step by Step Solution

1. Step 1: Write the proportion equation
   50,746 : 108,116 = 108,116 : x
2. Step 2: Convert to fraction form
   50,746/108,116 = 108,116/x
3. Step 3: Cross multiply
   50,746x = 108,116 × 108,116
4. Step 4: Simplify right side
   50,746x = 11,689,069,456
5. Step 5: Solve for x
   x = 11,689,069,456/50,746
6. Step 6: Final answer
   x = 230,344.65