Finding the Third Proportional to 81,756 and 123,039

Step by Step Solution

1. Step 1: Write the proportion equation
   81,756 : 123,039 = 123,039 : x
2. Step 2: Convert to fraction form
   81,756/123,039 = 123,039/x
3. Step 3: Cross multiply
   81,756x = 123,039 × 123,039
4. Step 4: Simplify right side
   81,756x = 15,138,595,521
5. Step 5: Solve for x
   x = 15,138,595,521/81,756
6. Step 6: Final answer
   x = 185,168.01