Finding the Third Proportional to 196,914 and 418,434

Step by Step Solution

1. Step 1: Write the proportion equation
   196,914 : 418,434 = 418,434 : x
2. Step 2: Convert to fraction form
   196,914/418,434 = 418,434/x
3. Step 3: Cross multiply
   196,914x = 418,434 × 418,434
4. Step 4: Simplify right side
   196,914x = 175,087,012,356
5. Step 5: Solve for x
   x = 175,087,012,356/196,914
6. Step 6: Final answer
   x = 889,154.72