Finding the Third Proportional to 414,168.25 and 905,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,168.25 : 905,880.50 = 905,880.50 : x
2. Step 2: Convert to fraction form
   414,168.25/905,880.50 = 905,880.50/x
3. Step 3: Cross multiply
   414,168.25x = 905,880.50 × 905,880.50
4. Step 4: Simplify right side
   414,168.25x = 820,619,480,280.25
5. Step 5: Solve for x
   x = 820,619,480,280.25/414,168.25
6. Step 6: Final answer
   x = 1,981,367.43