Finding the Third Proportional to 50,751 and 109,278

Step by Step Solution

1. Step 1: Write the proportion equation
   50,751 : 109,278 = 109,278 : x
2. Step 2: Convert to fraction form
   50,751/109,278 = 109,278/x
3. Step 3: Cross multiply
   50,751x = 109,278 × 109,278
4. Step 4: Simplify right side
   50,751x = 11,941,681,284
5. Step 5: Solve for x
   x = 11,941,681,284/50,751
6. Step 6: Final answer
   x = 235,299.43