Finding the Third Proportional to 50,024 and 109,984

Step by Step Solution

1. Step 1: Write the proportion equation
   50,024 : 109,984 = 109,984 : x
2. Step 2: Convert to fraction form
   50,024/109,984 = 109,984/x
3. Step 3: Cross multiply
   50,024x = 109,984 × 109,984
4. Step 4: Simplify right side
   50,024x = 12,096,480,256
5. Step 5: Solve for x
   x = 12,096,480,256/50,024
6. Step 6: Final answer
   x = 241,813.53