Finding the Third Proportional to 194,844 and 405,004

Step by Step Solution

1. Step 1: Write the proportion equation
   194,844 : 405,004 = 405,004 : x
2. Step 2: Convert to fraction form
   194,844/405,004 = 405,004/x
3. Step 3: Cross multiply
   194,844x = 405,004 × 405,004
4. Step 4: Simplify right side
   194,844x = 164,028,240,016
5. Step 5: Solve for x
   x = 164,028,240,016/194,844
6. Step 6: Final answer
   x = 841,843.94