Finding the Third Proportional to 315,396 and 471,786.75

Step by Step Solution

1. Step 1: Write the proportion equation
   315,396 : 471,786.75 = 471,786.75 : x
2. Step 2: Convert to fraction form
   315,396/471,786.75 = 471,786.75/x
3. Step 3: Cross multiply
   315,396x = 471,786.75 × 471,786.75
4. Step 4: Simplify right side
   315,396x = 222,582,737,475.56
5. Step 5: Solve for x
   x = 222,582,737,475.56/315,396
6. Step 6: Final answer
   x = 705,724.67