Finding the Third Proportional to 186,768 and 412,786.13

Step by Step Solution

1. Step 1: Write the proportion equation
   186,768 : 412,786.13 = 412,786.13 : x
2. Step 2: Convert to fraction form
   186,768/412,786.13 = 412,786.13/x
3. Step 3: Cross multiply
   186,768x = 412,786.13 × 412,786.13
4. Step 4: Simplify right side
   186,768x = 170,392,384,992.52
5. Step 5: Solve for x
   x = 170,392,384,992.52/186,768
6. Step 6: Final answer
   x = 912,321.09