Finding the Third Proportional to 81,786 and 123,081

Step by Step Solution

1. Step 1: Write the proportion equation
   81,786 : 123,081 = 123,081 : x
2. Step 2: Convert to fraction form
   81,786/123,081 = 123,081/x
3. Step 3: Cross multiply
   81,786x = 123,081 × 123,081
4. Step 4: Simplify right side
   81,786x = 15,148,932,561
5. Step 5: Solve for x
   x = 15,148,932,561/81,786
6. Step 6: Final answer
   x = 185,226.48