Finding the Third Proportional to 404,174 and 561,966

Step by Step Solution

1. Step 1: Write the proportion equation
   404,174 : 561,966 = 561,966 : x
2. Step 2: Convert to fraction form
   404,174/561,966 = 561,966/x
3. Step 3: Cross multiply
   404,174x = 561,966 × 561,966
4. Step 4: Simplify right side
   404,174x = 315,805,785,156
5. Step 5: Solve for x
   x = 315,805,785,156/404,174
6. Step 6: Final answer
   x = 781,360.96