Finding the Third Proportional to 143,410 and 315,414

Step by Step Solution

1. Step 1: Write the proportion equation
   143,410 : 315,414 = 315,414 : x
2. Step 2: Convert to fraction form
   143,410/315,414 = 315,414/x
3. Step 3: Cross multiply
   143,410x = 315,414 × 315,414
4. Step 4: Simplify right side
   143,410x = 99,485,991,396
5. Step 5: Solve for x
   x = 99,485,991,396/143,410
6. Step 6: Final answer
   x = 693,717.25