Finding the Third Proportional to 184,446 and 405,936

Step by Step Solution

1. Step 1: Write the proportion equation
   184,446 : 405,936 = 405,936 : x
2. Step 2: Convert to fraction form
   184,446/405,936 = 405,936/x
3. Step 3: Cross multiply
   184,446x = 405,936 × 405,936
4. Step 4: Simplify right side
   184,446x = 164,784,036,096
5. Step 5: Solve for x
   x = 164,784,036,096/184,446
6. Step 6: Final answer
   x = 893,399.89