Finding the Third Proportional to 417,867 and 902,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   417,867 : 902,233.50 = 902,233.50 : x
2. Step 2: Convert to fraction form
   417,867/902,233.50 = 902,233.50/x
3. Step 3: Cross multiply
   417,867x = 902,233.50 × 902,233.50
4. Step 4: Simplify right side
   417,867x = 814,025,288,522.25
5. Step 5: Solve for x
   x = 814,025,288,522.25/417,867
6. Step 6: Final answer
   x = 1,948,048.75