Finding the Third Proportional to 50,256 and 109,248

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 109,248 = 109,248 : x
2. Step 2: Convert to fraction form
   50,256/109,248 = 109,248/x
3. Step 3: Cross multiply
   50,256x = 109,248 × 109,248
4. Step 4: Simplify right side
   50,256x = 11,935,125,504
5. Step 5: Solve for x
   x = 11,935,125,504/50,256
6. Step 6: Final answer
   x = 237,486.58