Finding the Third Proportional to 83,644 and 184,136

Step by Step Solution

1. Step 1: Write the proportion equation
   83,644 : 184,136 = 184,136 : x
2. Step 2: Convert to fraction form
   83,644/184,136 = 184,136/x
3. Step 3: Cross multiply
   83,644x = 184,136 × 184,136
4. Step 4: Simplify right side
   83,644x = 33,906,066,496
5. Step 5: Solve for x
   x = 33,906,066,496/83,644
6. Step 6: Final answer
   x = 405,361.61