Finding the Third Proportional to 81,786.38 and 123,089.06

Step by Step Solution

1. Step 1: Write the proportion equation
   81,786.38 : 123,089.06 = 123,089.06 : x
2. Step 2: Convert to fraction form
   81,786.38/123,089.06 = 123,089.06/x
3. Step 3: Cross multiply
   81,786.38x = 123,089.06 × 123,089.06
4. Step 4: Simplify right side
   81,786.38x = 15,150,917,307.13
5. Step 5: Solve for x
   x = 15,150,917,307.13/81,786.38
6. Step 6: Final answer
   x = 185,249.89