Finding the Third Proportional to 404,166 and 634,065

Step by Step Solution

1. Step 1: Write the proportion equation
   404,166 : 634,065 = 634,065 : x
2. Step 2: Convert to fraction form
   404,166/634,065 = 634,065/x
3. Step 3: Cross multiply
   404,166x = 634,065 × 634,065
4. Step 4: Simplify right side
   404,166x = 402,038,424,225
5. Step 5: Solve for x
   x = 402,038,424,225/404,166
6. Step 6: Final answer
   x = 994,735.89