Finding the Third Proportional to 417,829.50 and 645,912

Step by Step Solution

1. Step 1: Write the proportion equation
   417,829.50 : 645,912 = 645,912 : x
2. Step 2: Convert to fraction form
   417,829.50/645,912 = 645,912/x
3. Step 3: Cross multiply
   417,829.50x = 645,912 × 645,912
4. Step 4: Simplify right side
   417,829.50x = 417,202,311,744
5. Step 5: Solve for x
   x = 417,202,311,744/417,829.50
6. Step 6: Final answer
   x = 998,498.94