Finding the Third Proportional to 414,174 and 905,892

Step by Step Solution

1. Step 1: Write the proportion equation
   414,174 : 905,892 = 905,892 : x
2. Step 2: Convert to fraction form
   414,174/905,892 = 905,892/x
3. Step 3: Cross multiply
   414,174x = 905,892 × 905,892
4. Step 4: Simplify right side
   414,174x = 820,640,315,664
5. Step 5: Solve for x
   x = 820,640,315,664/414,174
6. Step 6: Final answer
   x = 1,981,390.23