Finding the Third Proportional to 417,569 and 645,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   417,569 : 645,543.50 = 645,543.50 : x
2. Step 2: Convert to fraction form
   417,569/645,543.50 = 645,543.50/x
3. Step 3: Cross multiply
   417,569x = 645,543.50 × 645,543.50
4. Step 4: Simplify right side
   417,569x = 416,726,410,392.25
5. Step 5: Solve for x
   x = 416,726,410,392.25/417,569
6. Step 6: Final answer
   x = 997,982.15