Finding the Third Proportional to 53,048 and 114,398

Step by Step Solution

1. Step 1: Write the proportion equation
   53,048 : 114,398 = 114,398 : x
2. Step 2: Convert to fraction form
   53,048/114,398 = 114,398/x
3. Step 3: Cross multiply
   53,048x = 114,398 × 114,398
4. Step 4: Simplify right side
   53,048x = 13,086,902,404
5. Step 5: Solve for x
   x = 13,086,902,404/53,048
6. Step 6: Final answer
   x = 246,699.26