Finding the Third Proportional to 197,193 and 295,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,193 : 295,456.50 = 295,456.50 : x
2. Step 2: Convert to fraction form
   197,193/295,456.50 = 295,456.50/x
3. Step 3: Cross multiply
   197,193x = 295,456.50 × 295,456.50
4. Step 4: Simplify right side
   197,193x = 87,294,543,392.25
5. Step 5: Solve for x
   x = 87,294,543,392.25/197,193
6. Step 6: Final answer
   x = 442,685.81