Finding the Third Proportional to 414,196 and 905,936

Step by Step Solution

1. Step 1: Write the proportion equation
   414,196 : 905,936 = 905,936 : x
2. Step 2: Convert to fraction form
   414,196/905,936 = 905,936/x
3. Step 3: Cross multiply
   414,196x = 905,936 × 905,936
4. Step 4: Simplify right side
   414,196x = 820,720,036,096
5. Step 5: Solve for x
   x = 820,720,036,096/414,196
6. Step 6: Final answer
   x = 1,981,477.46