Finding the Third Proportional to 53,370 and 123,542

Step by Step Solution

1. Step 1: Write the proportion equation
   53,370 : 123,542 = 123,542 : x
2. Step 2: Convert to fraction form
   53,370/123,542 = 123,542/x
3. Step 3: Cross multiply
   53,370x = 123,542 × 123,542
4. Step 4: Simplify right side
   53,370x = 15,262,625,764
5. Step 5: Solve for x
   x = 15,262,625,764/53,370
6. Step 6: Final answer
   x = 285,977.62