Finding the Third Proportional to 50,847 and 109,524

Step by Step Solution

1. Step 1: Write the proportion equation
   50,847 : 109,524 = 109,524 : x
2. Step 2: Convert to fraction form
   50,847/109,524 = 109,524/x
3. Step 3: Cross multiply
   50,847x = 109,524 × 109,524
4. Step 4: Simplify right side
   50,847x = 11,995,506,576
5. Step 5: Solve for x
   x = 11,995,506,576/50,847
6. Step 6: Final answer
   x = 235,913.75