Finding the Third Proportional to 221,694 and 474,894

Step by Step Solution

1. Step 1: Write the proportion equation
   221,694 : 474,894 = 474,894 : x
2. Step 2: Convert to fraction form
   221,694/474,894 = 474,894/x
3. Step 3: Cross multiply
   221,694x = 474,894 × 474,894
4. Step 4: Simplify right side
   221,694x = 225,524,311,236
5. Step 5: Solve for x
   x = 225,524,311,236/221,694
6. Step 6: Final answer
   x = 1,017,277.47