Finding the Third Proportional to 81,960 and 123,693

Step by Step Solution

1. Step 1: Write the proportion equation
   81,960 : 123,693 = 123,693 : x
2. Step 2: Convert to fraction form
   81,960/123,693 = 123,693/x
3. Step 3: Cross multiply
   81,960x = 123,693 × 123,693
4. Step 4: Simplify right side
   81,960x = 15,299,958,249
5. Step 5: Solve for x
   x = 15,299,958,249/81,960
6. Step 6: Final answer
   x = 186,675.92