Finding the Third Proportional to 315,105 and 471,557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   315,105 : 471,557.25 = 471,557.25 : x
2. Step 2: Convert to fraction form
   315,105/471,557.25 = 471,557.25/x
3. Step 3: Cross multiply
   315,105x = 471,557.25 × 471,557.25
4. Step 4: Simplify right side
   315,105x = 222,366,240,027.56
5. Step 5: Solve for x
   x = 222,366,240,027.56/315,105
6. Step 6: Final answer
   x = 705,689.34