Finding the Third Proportional to 184,696 and 401,744

Step by Step Solution

1. Step 1: Write the proportion equation
   184,696 : 401,744 = 401,744 : x
2. Step 2: Convert to fraction form
   184,696/401,744 = 401,744/x
3. Step 3: Cross multiply
   184,696x = 401,744 × 401,744
4. Step 4: Simplify right side
   184,696x = 161,398,241,536
5. Step 5: Solve for x
   x = 161,398,241,536/184,696
6. Step 6: Final answer
   x = 873,858.89