Finding the Third Proportional to 196,741 and 422,156

Step by Step Solution

1. Step 1: Write the proportion equation
   196,741 : 422,156 = 422,156 : x
2. Step 2: Convert to fraction form
   196,741/422,156 = 422,156/x
3. Step 3: Cross multiply
   196,741x = 422,156 × 422,156
4. Step 4: Simplify right side
   196,741x = 178,215,688,336
5. Step 5: Solve for x
   x = 178,215,688,336/196,741
6. Step 6: Final answer
   x = 905,839.09