Finding the Third Proportional to 404,114 and 633,963

Step by Step Solution

1. Step 1: Write the proportion equation
   404,114 : 633,963 = 633,963 : x
2. Step 2: Convert to fraction form
   404,114/633,963 = 633,963/x
3. Step 3: Cross multiply
   404,114x = 633,963 × 633,963
4. Step 4: Simplify right side
   404,114x = 401,909,085,369
5. Step 5: Solve for x
   x = 401,909,085,369/404,114
6. Step 6: Final answer
   x = 994,543.83