Finding the Third Proportional to 257,380 and 404,166

Step by Step Solution

1. Step 1: Write the proportion equation
   257,380 : 404,166 = 404,166 : x
2. Step 2: Convert to fraction form
   257,380/404,166 = 404,166/x
3. Step 3: Cross multiply
   257,380x = 404,166 × 404,166
4. Step 4: Simplify right side
   257,380x = 163,350,155,556
5. Step 5: Solve for x
   x = 163,350,155,556/257,380
6. Step 6: Final answer
   x = 634,665.30