Finding the Third Proportional to 315,225 and 471,723.75

Step by Step Solution

1. Step 1: Write the proportion equation
   315,225 : 471,723.75 = 471,723.75 : x
2. Step 2: Convert to fraction form
   315,225/471,723.75 = 471,723.75/x
3. Step 3: Cross multiply
   315,225x = 471,723.75 × 471,723.75
4. Step 4: Simplify right side
   315,225x = 222,523,296,314.06
5. Step 5: Solve for x
   x = 222,523,296,314.06/315,225
6. Step 6: Final answer
   x = 705,918.94