Finding the Third Proportional to 404,116 and 633,966

Step by Step Solution

1. Step 1: Write the proportion equation
   404,116 : 633,966 = 633,966 : x
2. Step 2: Convert to fraction form
   404,116/633,966 = 633,966/x
3. Step 3: Cross multiply
   404,116x = 633,966 × 633,966
4. Step 4: Simplify right side
   404,116x = 401,912,889,156
5. Step 5: Solve for x
   x = 401,912,889,156/404,116
6. Step 6: Final answer
   x = 994,548.32