Finding the Third Proportional to 82,183.50 and 123,747.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,183.50 : 123,747.75 = 123,747.75 : x
2. Step 2: Convert to fraction form
   82,183.50/123,747.75 = 123,747.75/x
3. Step 3: Cross multiply
   82,183.50x = 123,747.75 × 123,747.75
4. Step 4: Simplify right side
   82,183.50x = 15,313,505,630.06
5. Step 5: Solve for x
   x = 15,313,505,630.06/82,183.50
6. Step 6: Final answer
   x = 186,333.09