Finding the Third Proportional to 81,856 and 123,089

Step by Step Solution

1. Step 1: Write the proportion equation
   81,856 : 123,089 = 123,089 : x
2. Step 2: Convert to fraction form
   81,856/123,089 = 123,089/x
3. Step 3: Cross multiply
   81,856x = 123,089 × 123,089
4. Step 4: Simplify right side
   81,856x = 15,150,901,921
5. Step 5: Solve for x
   x = 15,150,901,921/81,856
6. Step 6: Final answer
   x = 185,092.14