Finding the Third Proportional to 404,406 and 634,338

Step by Step Solution

1. Step 1: Write the proportion equation
   404,406 : 634,338 = 634,338 : x
2. Step 2: Convert to fraction form
   404,406/634,338 = 634,338/x
3. Step 3: Cross multiply
   404,406x = 634,338 × 634,338
4. Step 4: Simplify right side
   404,406x = 402,384,698,244
5. Step 5: Solve for x
   x = 402,384,698,244/404,406
6. Step 6: Final answer
   x = 995,001.80