Finding the Third Proportional to 188,413 and 404,123

Step by Step Solution

1. Step 1: Write the proportion equation
   188,413 : 404,123 = 404,123 : x
2. Step 2: Convert to fraction form
   188,413/404,123 = 404,123/x
3. Step 3: Cross multiply
   188,413x = 404,123 × 404,123
4. Step 4: Simplify right side
   188,413x = 163,315,399,129
5. Step 5: Solve for x
   x = 163,315,399,129/188,413
6. Step 6: Final answer
   x = 866,794.75