Finding the Third Proportional to 416,745 and 645,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,745 : 645,709.50 = 645,709.50 : x
2. Step 2: Convert to fraction form
   416,745/645,709.50 = 645,709.50/x
3. Step 3: Cross multiply
   416,745x = 645,709.50 × 645,709.50
4. Step 4: Simplify right side
   416,745x = 416,940,758,390.25
5. Step 5: Solve for x
   x = 416,940,758,390.25/416,745
6. Step 6: Final answer
   x = 1,000,469.73