Finding the Third Proportional to 404,201 and 634,072

Step by Step Solution

1. Step 1: Write the proportion equation
   404,201 : 634,072 = 634,072 : x
2. Step 2: Convert to fraction form
   404,201/634,072 = 634,072/x
3. Step 3: Cross multiply
   404,201x = 634,072 × 634,072
4. Step 4: Simplify right side
   404,201x = 402,047,301,184
5. Step 5: Solve for x
   x = 402,047,301,184/404,201
6. Step 6: Final answer
   x = 994,671.71