Finding the Third Proportional to 404,165 and 634,064

Step by Step Solution

1. Step 1: Write the proportion equation
   404,165 : 634,064 = 634,064 : x
2. Step 2: Convert to fraction form
   404,165/634,064 = 634,064/x
3. Step 3: Cross multiply
   404,165x = 634,064 × 634,064
4. Step 4: Simplify right side
   404,165x = 402,037,156,096
5. Step 5: Solve for x
   x = 402,037,156,096/404,165
6. Step 6: Final answer
   x = 994,735.21