Finding the Third Proportional to 644,429 and 946,906

Step by Step Solution

1. Step 1: Write the proportion equation
   644,429 : 946,906 = 946,906 : x
2. Step 2: Convert to fraction form
   644,429/946,906 = 946,906/x
3. Step 3: Cross multiply
   644,429x = 946,906 × 946,906
4. Step 4: Simplify right side
   644,429x = 896,630,972,836
5. Step 5: Solve for x
   x = 896,630,972,836/644,429
6. Step 6: Final answer
   x = 1,391,357.27