Finding the Third Proportional to 196,798 and 407,600

Step by Step Solution

1. Step 1: Write the proportion equation
   196,798 : 407,600 = 407,600 : x
2. Step 2: Convert to fraction form
   196,798/407,600 = 407,600/x
3. Step 3: Cross multiply
   196,798x = 407,600 × 407,600
4. Step 4: Simplify right side
   196,798x = 166,137,760,000
5. Step 5: Solve for x
   x = 166,137,760,000/196,798
6. Step 6: Final answer
   x = 844,204.51