Finding the Third Proportional to 196,805.25 and 407,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,805.25 : 407,614.50 = 407,614.50 : x
2. Step 2: Convert to fraction form
   196,805.25/407,614.50 = 407,614.50/x
3. Step 3: Cross multiply
   196,805.25x = 407,614.50 × 407,614.50
4. Step 4: Simplify right side
   196,805.25x = 166,149,580,610.25
5. Step 5: Solve for x
   x = 166,149,580,610.25/196,805.25
6. Step 6: Final answer
   x = 844,233.48