Finding the Third Proportional to 184,633 and 401,666

Step by Step Solution

1. Step 1: Write the proportion equation
   184,633 : 401,666 = 401,666 : x
2. Step 2: Convert to fraction form
   184,633/401,666 = 401,666/x
3. Step 3: Cross multiply
   184,633x = 401,666 × 401,666
4. Step 4: Simplify right side
   184,633x = 161,335,575,556
5. Step 5: Solve for x
   x = 161,335,575,556/184,633
6. Step 6: Final answer
   x = 873,817.66