Finding the Third Proportional to 196,798 and 422,262

Step by Step Solution

1. Step 1: Write the proportion equation
   196,798 : 422,262 = 422,262 : x
2. Step 2: Convert to fraction form
   196,798/422,262 = 422,262/x
3. Step 3: Cross multiply
   196,798x = 422,262 × 422,262
4. Step 4: Simplify right side
   196,798x = 178,305,196,644
5. Step 5: Solve for x
   x = 178,305,196,644/196,798
6. Step 6: Final answer
   x = 906,031.55