Finding the Third Proportional to 315,024 and 472,410

Step by Step Solution

1. Step 1: Write the proportion equation
   315,024 : 472,410 = 472,410 : x
2. Step 2: Convert to fraction form
   315,024/472,410 = 472,410/x
3. Step 3: Cross multiply
   315,024x = 472,410 × 472,410
4. Step 4: Simplify right side
   315,024x = 223,171,208,100
5. Step 5: Solve for x
   x = 223,171,208,100/315,024
6. Step 6: Final answer
   x = 708,426.05