Finding the Third Proportional to 315,123 and 472,914

Step by Step Solution

1. Step 1: Write the proportion equation
   315,123 : 472,914 = 472,914 : x
2. Step 2: Convert to fraction form
   315,123/472,914 = 472,914/x
3. Step 3: Cross multiply
   315,123x = 472,914 × 472,914
4. Step 4: Simplify right side
   315,123x = 223,647,651,396
5. Step 5: Solve for x
   x = 223,647,651,396/315,123
6. Step 6: Final answer
   x = 709,715.42