Finding the Third Proportional to 189,510 and 412,428

Step by Step Solution

1. Step 1: Write the proportion equation
   189,510 : 412,428 = 412,428 : x
2. Step 2: Convert to fraction form
   189,510/412,428 = 412,428/x
3. Step 3: Cross multiply
   189,510x = 412,428 × 412,428
4. Step 4: Simplify right side
   189,510x = 170,096,855,184
5. Step 5: Solve for x
   x = 170,096,855,184/189,510
6. Step 6: Final answer
   x = 897,561.37