Finding the Third Proportional to 401,059 and 856,253

Step by Step Solution

1. Step 1: Write the proportion equation
   401,059 : 856,253 = 856,253 : x
2. Step 2: Convert to fraction form
   401,059/856,253 = 856,253/x
3. Step 3: Cross multiply
   401,059x = 856,253 × 856,253
4. Step 4: Simplify right side
   401,059x = 733,169,200,009
5. Step 5: Solve for x
   x = 733,169,200,009/401,059
6. Step 6: Final answer
   x = 1,828,083.15