Finding the Third Proportional to 331,420 and 468,510

Step by Step Solution

1. Step 1: Write the proportion equation
   331,420 : 468,510 = 468,510 : x
2. Step 2: Convert to fraction form
   331,420/468,510 = 468,510/x
3. Step 3: Cross multiply
   331,420x = 468,510 × 468,510
4. Step 4: Simplify right side
   331,420x = 219,501,620,100
5. Step 5: Solve for x
   x = 219,501,620,100/331,420
6. Step 6: Final answer
   x = 662,306.50