Finding the Third Proportional to 196,410 and 300,321

Step by Step Solution

1. Step 1: Write the proportion equation
   196,410 : 300,321 = 300,321 : x
2. Step 2: Convert to fraction form
   196,410/300,321 = 300,321/x
3. Step 3: Cross multiply
   196,410x = 300,321 × 300,321
4. Step 4: Simplify right side
   196,410x = 90,192,703,041
5. Step 5: Solve for x
   x = 90,192,703,041/196,410
6. Step 6: Final answer
   x = 459,206.27