Finding the Third Proportional to 414,891 and 905,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,891 : 905,182.50 = 905,182.50 : x
2. Step 2: Convert to fraction form
   414,891/905,182.50 = 905,182.50/x
3. Step 3: Cross multiply
   414,891x = 905,182.50 × 905,182.50
4. Step 4: Simplify right side
   414,891x = 819,355,358,306.25
5. Step 5: Solve for x
   x = 819,355,358,306.25/414,891
6. Step 6: Final answer
   x = 1,974,868.96