Finding the Third Proportional to 414,471 and 659,072.75

Step by Step Solution

1. Step 1: Write the proportion equation
   414,471 : 659,072.75 = 659,072.75 : x
2. Step 2: Convert to fraction form
   414,471/659,072.75 = 659,072.75/x
3. Step 3: Cross multiply
   414,471x = 659,072.75 × 659,072.75
4. Step 4: Simplify right side
   414,471x = 434,376,889,792.56
5. Step 5: Solve for x
   x = 434,376,889,792.56/414,471
6. Step 6: Final answer
   x = 1,048,027.22