Finding the Third Proportional to 316,089 and 684,665

Step by Step Solution

1. Step 1: Write the proportion equation
   316,089 : 684,665 = 684,665 : x
2. Step 2: Convert to fraction form
   316,089/684,665 = 684,665/x
3. Step 3: Cross multiply
   316,089x = 684,665 × 684,665
4. Step 4: Simplify right side
   316,089x = 468,766,162,225
5. Step 5: Solve for x
   x = 468,766,162,225/316,089
6. Step 6: Final answer
   x = 1,483,019.54