Finding the Third Proportional to 53,335 and 123,474

Step by Step Solution

1. Step 1: Write the proportion equation
   53,335 : 123,474 = 123,474 : x
2. Step 2: Convert to fraction form
   53,335/123,474 = 123,474/x
3. Step 3: Cross multiply
   53,335x = 123,474 × 123,474
4. Step 4: Simplify right side
   53,335x = 15,245,828,676
5. Step 5: Solve for x
   x = 15,245,828,676/53,335
6. Step 6: Final answer
   x = 285,850.35