Finding the Third Proportional to 81,954 and 123,684

Step by Step Solution

1. Step 1: Write the proportion equation
   81,954 : 123,684 = 123,684 : x
2. Step 2: Convert to fraction form
   81,954/123,684 = 123,684/x
3. Step 3: Cross multiply
   81,954x = 123,684 × 123,684
4. Step 4: Simplify right side
   81,954x = 15,297,731,856
5. Step 5: Solve for x
   x = 15,297,731,856/81,954
6. Step 6: Final answer
   x = 186,662.42