Finding the Third Proportional to 300,786 and 423,198

Step by Step Solution

1. Step 1: Write the proportion equation
   300,786 : 423,198 = 423,198 : x
2. Step 2: Convert to fraction form
   300,786/423,198 = 423,198/x
3. Step 3: Cross multiply
   300,786x = 423,198 × 423,198
4. Step 4: Simplify right side
   300,786x = 179,096,547,204
5. Step 5: Solve for x
   x = 179,096,547,204/300,786
6. Step 6: Final answer
   x = 595,428.47