Finding the Third Proportional to 50,642 and 111,460

Step by Step Solution

1. Step 1: Write the proportion equation
   50,642 : 111,460 = 111,460 : x
2. Step 2: Convert to fraction form
   50,642/111,460 = 111,460/x
3. Step 3: Cross multiply
   50,642x = 111,460 × 111,460
4. Step 4: Simplify right side
   50,642x = 12,423,331,600
5. Step 5: Solve for x
   x = 12,423,331,600/50,642
6. Step 6: Final answer
   x = 245,316.76