Finding the Third Proportional to 81,504 and 123,921

Step by Step Solution

1. Step 1: Write the proportion equation
   81,504 : 123,921 = 123,921 : x
2. Step 2: Convert to fraction form
   81,504/123,921 = 123,921/x
3. Step 3: Cross multiply
   81,504x = 123,921 × 123,921
4. Step 4: Simplify right side
   81,504x = 15,356,414,241
5. Step 5: Solve for x
   x = 15,356,414,241/81,504
6. Step 6: Final answer
   x = 188,413.01