Finding the Third Proportional to 191,002 and 404,768

Step by Step Solution

1. Step 1: Write the proportion equation
   191,002 : 404,768 = 404,768 : x
2. Step 2: Convert to fraction form
   191,002/404,768 = 404,768/x
3. Step 3: Cross multiply
   191,002x = 404,768 × 404,768
4. Step 4: Simplify right side
   191,002x = 163,837,133,824
5. Step 5: Solve for x
   x = 163,837,133,824/191,002
6. Step 6: Final answer
   x = 857,777.06