Finding the Third Proportional to 188,893 and 411,016

Step by Step Solution

1. Step 1: Write the proportion equation
   188,893 : 411,016 = 411,016 : x
2. Step 2: Convert to fraction form
   188,893/411,016 = 411,016/x
3. Step 3: Cross multiply
   188,893x = 411,016 × 411,016
4. Step 4: Simplify right side
   188,893x = 168,934,152,256
5. Step 5: Solve for x
   x = 168,934,152,256/188,893
6. Step 6: Final answer
   x = 894,337.81