Finding the Third Proportional to 196,510 and 421,036

Step by Step Solution

1. Step 1: Write the proportion equation
   196,510 : 421,036 = 421,036 : x
2. Step 2: Convert to fraction form
   196,510/421,036 = 421,036/x
3. Step 3: Cross multiply
   196,510x = 421,036 × 421,036
4. Step 4: Simplify right side
   196,510x = 177,271,313,296
5. Step 5: Solve for x
   x = 177,271,313,296/196,510
6. Step 6: Final answer
   x = 902,098.18