Finding the Third Proportional to 191,110 and 409,004

Step by Step Solution

1. Step 1: Write the proportion equation
   191,110 : 409,004 = 409,004 : x
2. Step 2: Convert to fraction form
   191,110/409,004 = 409,004/x
3. Step 3: Cross multiply
   191,110x = 409,004 × 409,004
4. Step 4: Simplify right side
   191,110x = 167,284,272,016
5. Step 5: Solve for x
   x = 167,284,272,016/191,110
6. Step 6: Final answer
   x = 875,329.77