Finding the Third Proportional to 50,304 and 109,275

Step by Step Solution

1. Step 1: Write the proportion equation
   50,304 : 109,275 = 109,275 : x
2. Step 2: Convert to fraction form
   50,304/109,275 = 109,275/x
3. Step 3: Cross multiply
   50,304x = 109,275 × 109,275
4. Step 4: Simplify right side
   50,304x = 11,941,025,625
5. Step 5: Solve for x
   x = 11,941,025,625/50,304
6. Step 6: Final answer
   x = 237,377.26