Finding the Third Proportional to 294,066 and 644,166

Step by Step Solution

1. Step 1: Write the proportion equation
   294,066 : 644,166 = 644,166 : x
2. Step 2: Convert to fraction form
   294,066/644,166 = 644,166/x
3. Step 3: Cross multiply
   294,066x = 644,166 × 644,166
4. Step 4: Simplify right side
   294,066x = 414,949,835,556
5. Step 5: Solve for x
   x = 414,949,835,556/294,066
6. Step 6: Final answer
   x = 1,411,077.23