Finding the Third Proportional to 53,352 and 123,498

Step by Step Solution

1. Step 1: Write the proportion equation
   53,352 : 123,498 = 123,498 : x
2. Step 2: Convert to fraction form
   53,352/123,498 = 123,498/x
3. Step 3: Cross multiply
   53,352x = 123,498 × 123,498
4. Step 4: Simplify right side
   53,352x = 15,251,756,004
5. Step 5: Solve for x
   x = 15,251,756,004/53,352
6. Step 6: Final answer
   x = 285,870.37