Finding the Third Proportional to 414,192 and 905,928

Step by Step Solution

1. Step 1: Write the proportion equation
   414,192 : 905,928 = 905,928 : x
2. Step 2: Convert to fraction form
   414,192/905,928 = 905,928/x
3. Step 3: Cross multiply
   414,192x = 905,928 × 905,928
4. Step 4: Simplify right side
   414,192x = 820,705,541,184
5. Step 5: Solve for x
   x = 820,705,541,184/414,192
6. Step 6: Final answer
   x = 1,981,461.60