Finding the Third Proportional to 194,406 and 300,223

Step by Step Solution

1. Step 1: Write the proportion equation
   194,406 : 300,223 = 300,223 : x
2. Step 2: Convert to fraction form
   194,406/300,223 = 300,223/x
3. Step 3: Cross multiply
   194,406x = 300,223 × 300,223
4. Step 4: Simplify right side
   194,406x = 90,133,849,729
5. Step 5: Solve for x
   x = 90,133,849,729/194,406
6. Step 6: Final answer
   x = 463,637.18