Finding the Third Proportional to 404,172 and 561,963

Step by Step Solution

1. Step 1: Write the proportion equation
   404,172 : 561,963 = 561,963 : x
2. Step 2: Convert to fraction form
   404,172/561,963 = 561,963/x
3. Step 3: Cross multiply
   404,172x = 561,963 × 561,963
4. Step 4: Simplify right side
   404,172x = 315,802,413,369
5. Step 5: Solve for x
   x = 315,802,413,369/404,172
6. Step 6: Final answer
   x = 781,356.49