Finding the Third Proportional to 196,902 and 418,410

Step by Step Solution

1. Step 1: Write the proportion equation
   196,902 : 418,410 = 418,410 : x
2. Step 2: Convert to fraction form
   196,902/418,410 = 418,410/x
3. Step 3: Cross multiply
   196,902x = 418,410 × 418,410
4. Step 4: Simplify right side
   196,902x = 175,066,928,100
5. Step 5: Solve for x
   x = 175,066,928,100/196,902
6. Step 6: Final answer
   x = 889,106.91