Finding the Third Proportional to 196,732 and 422,138

Step by Step Solution

1. Step 1: Write the proportion equation
   196,732 : 422,138 = 422,138 : x
2. Step 2: Convert to fraction form
   196,732/422,138 = 422,138/x
3. Step 3: Cross multiply
   196,732x = 422,138 × 422,138
4. Step 4: Simplify right side
   196,732x = 178,200,491,044
5. Step 5: Solve for x
   x = 178,200,491,044/196,732
6. Step 6: Final answer
   x = 905,803.28