Finding the Third Proportional to 189,388 and 414,406

Step by Step Solution

1. Step 1: Write the proportion equation
   189,388 : 414,406 = 414,406 : x
2. Step 2: Convert to fraction form
   189,388/414,406 = 414,406/x
3. Step 3: Cross multiply
   189,388x = 414,406 × 414,406
4. Step 4: Simplify right side
   189,388x = 171,732,332,836
5. Step 5: Solve for x
   x = 171,732,332,836/189,388
6. Step 6: Final answer
   x = 906,775.15