Finding the Third Proportional to 50,474 and 109,786

Step by Step Solution

1. Step 1: Write the proportion equation
   50,474 : 109,786 = 109,786 : x
2. Step 2: Convert to fraction form
   50,474/109,786 = 109,786/x
3. Step 3: Cross multiply
   50,474x = 109,786 × 109,786
4. Step 4: Simplify right side
   50,474x = 12,052,965,796
5. Step 5: Solve for x
   x = 12,052,965,796/50,474
6. Step 6: Final answer
   x = 238,795.53