Finding the Third Proportional to 401,066 and 856,254

Step by Step Solution

1. Step 1: Write the proportion equation
   401,066 : 856,254 = 856,254 : x
2. Step 2: Convert to fraction form
   401,066/856,254 = 856,254/x
3. Step 3: Cross multiply
   401,066x = 856,254 × 856,254
4. Step 4: Simplify right side
   401,066x = 733,170,912,516
5. Step 5: Solve for x
   x = 733,170,912,516/401,066
6. Step 6: Final answer
   x = 1,828,055.51