Finding the Third Proportional to 50,256 and 109,260

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 109,260 = 109,260 : x
2. Step 2: Convert to fraction form
   50,256/109,260 = 109,260/x
3. Step 3: Cross multiply
   50,256x = 109,260 × 109,260
4. Step 4: Simplify right side
   50,256x = 11,937,747,600
5. Step 5: Solve for x
   x = 11,937,747,600/50,256
6. Step 6: Final answer
   x = 237,538.75