Finding the Third Proportional to 313,870 and 471,510

Step by Step Solution

1. Step 1: Write the proportion equation
   313,870 : 471,510 = 471,510 : x
2. Step 2: Convert to fraction form
   313,870/471,510 = 471,510/x
3. Step 3: Cross multiply
   313,870x = 471,510 × 471,510
4. Step 4: Simplify right side
   313,870x = 222,321,680,100
5. Step 5: Solve for x
   x = 222,321,680,100/313,870
6. Step 6: Final answer
   x = 708,324.08