Finding the Third Proportional to 49,874 and 115,469

Step by Step Solution

1. Step 1: Write the proportion equation
   49,874 : 115,469 = 115,469 : x
2. Step 2: Convert to fraction form
   49,874/115,469 = 115,469/x
3. Step 3: Cross multiply
   49,874x = 115,469 × 115,469
4. Step 4: Simplify right side
   49,874x = 13,333,089,961
5. Step 5: Solve for x
   x = 13,333,089,961/49,874
6. Step 6: Final answer
   x = 267,335.48