Finding the Third Proportional to 196,738 and 422,150

Step by Step Solution

1. Step 1: Write the proportion equation
   196,738 : 422,150 = 422,150 : x
2. Step 2: Convert to fraction form
   196,738/422,150 = 422,150/x
3. Step 3: Cross multiply
   196,738x = 422,150 × 422,150
4. Step 4: Simplify right side
   196,738x = 178,210,622,500
5. Step 5: Solve for x
   x = 178,210,622,500/196,738
6. Step 6: Final answer
   x = 905,827.15