Finding the Third Proportional to 200,586 and 427,164

Step by Step Solution

1. Step 1: Write the proportion equation
   200,586 : 427,164 = 427,164 : x
2. Step 2: Convert to fraction form
   200,586/427,164 = 427,164/x
3. Step 3: Cross multiply
   200,586x = 427,164 × 427,164
4. Step 4: Simplify right side
   200,586x = 182,469,082,896
5. Step 5: Solve for x
   x = 182,469,082,896/200,586
6. Step 6: Final answer
   x = 909,680.05