Finding the Third Proportional to 85,264 and 184,136

Step by Step Solution

1. Step 1: Write the proportion equation
   85,264 : 184,136 = 184,136 : x
2. Step 2: Convert to fraction form
   85,264/184,136 = 184,136/x
3. Step 3: Cross multiply
   85,264x = 184,136 × 184,136
4. Step 4: Simplify right side
   85,264x = 33,906,066,496
5. Step 5: Solve for x
   x = 33,906,066,496/85,264
6. Step 6: Final answer
   x = 397,659.82