Finding the Third Proportional to 81,852 and 123,081.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,852 : 123,081.75 = 123,081.75 : x
2. Step 2: Convert to fraction form
   81,852/123,081.75 = 123,081.75/x
3. Step 3: Cross multiply
   81,852x = 123,081.75 × 123,081.75
4. Step 4: Simplify right side
   81,852x = 15,149,117,183.06
5. Step 5: Solve for x
   x = 15,149,117,183.06/81,852
6. Step 6: Final answer
   x = 185,079.38