Finding the Third Proportional to 53,354 and 123,503

Step by Step Solution

1. Step 1: Write the proportion equation
   53,354 : 123,503 = 123,503 : x
2. Step 2: Convert to fraction form
   53,354/123,503 = 123,503/x
3. Step 3: Cross multiply
   53,354x = 123,503 × 123,503
4. Step 4: Simplify right side
   53,354x = 15,252,991,009
5. Step 5: Solve for x
   x = 15,252,991,009/53,354
6. Step 6: Final answer
   x = 285,882.80