Finding the Third Proportional to 400,660 and 816,164

Step by Step Solution

1. Step 1: Write the proportion equation
   400,660 : 816,164 = 816,164 : x
2. Step 2: Convert to fraction form
   400,660/816,164 = 816,164/x
3. Step 3: Cross multiply
   400,660x = 816,164 × 816,164
4. Step 4: Simplify right side
   400,660x = 666,123,674,896
5. Step 5: Solve for x
   x = 666,123,674,896/400,660
6. Step 6: Final answer
   x = 1,662,565.95