Finding the Third Proportional to 194,424 and 404,368

Step by Step Solution

1. Step 1: Write the proportion equation
   194,424 : 404,368 = 404,368 : x
2. Step 2: Convert to fraction form
   194,424/404,368 = 404,368/x
3. Step 3: Cross multiply
   194,424x = 404,368 × 404,368
4. Step 4: Simplify right side
   194,424x = 163,513,479,424
5. Step 5: Solve for x
   x = 163,513,479,424/194,424
6. Step 6: Final answer
   x = 841,014.89