Finding the Third Proportional to 417,216 and 856,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   417,216 : 856,549.50 = 856,549.50 : x
2. Step 2: Convert to fraction form
   417,216/856,549.50 = 856,549.50/x
3. Step 3: Cross multiply
   417,216x = 856,549.50 × 856,549.50
4. Step 4: Simplify right side
   417,216x = 733,677,045,950.25
5. Step 5: Solve for x
   x = 733,677,045,950.25/417,216
6. Step 6: Final answer
   x = 1,758,506.50