Finding the Third Proportional to 417,214 and 856,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   417,214 : 856,545.50 = 856,545.50 : x
2. Step 2: Convert to fraction form
   417,214/856,545.50 = 856,545.50/x
3. Step 3: Cross multiply
   417,214x = 856,545.50 × 856,545.50
4. Step 4: Simplify right side
   417,214x = 733,670,193,570.25
5. Step 5: Solve for x
   x = 733,670,193,570.25/417,214
6. Step 6: Final answer
   x = 1,758,498.50