Finding the Third Proportional to 53,383 and 123,569

Step by Step Solution

1. Step 1: Write the proportion equation
   53,383 : 123,569 = 123,569 : x
2. Step 2: Convert to fraction form
   53,383/123,569 = 123,569/x
3. Step 3: Cross multiply
   53,383x = 123,569 × 123,569
4. Step 4: Simplify right side
   53,383x = 15,269,297,761
5. Step 5: Solve for x
   x = 15,269,297,761/53,383
6. Step 6: Final answer
   x = 286,032.96