Finding the Third Proportional to 196,836 and 427,016

Step by Step Solution

1. Step 1: Write the proportion equation
   196,836 : 427,016 = 427,016 : x
2. Step 2: Convert to fraction form
   196,836/427,016 = 427,016/x
3. Step 3: Cross multiply
   196,836x = 427,016 × 427,016
4. Step 4: Simplify right side
   196,836x = 182,342,664,256
5. Step 5: Solve for x
   x = 182,342,664,256/196,836
6. Step 6: Final answer
   x = 926,368.47