Finding the Third Proportional to 95,827.50 and 197,802

Step by Step Solution

1. Step 1: Write the proportion equation
   95,827.50 : 197,802 = 197,802 : x
2. Step 2: Convert to fraction form
   95,827.50/197,802 = 197,802/x
3. Step 3: Cross multiply
   95,827.50x = 197,802 × 197,802
4. Step 4: Simplify right side
   95,827.50x = 39,125,631,204
5. Step 5: Solve for x
   x = 39,125,631,204/95,827.50
6. Step 6: Final answer
   x = 408,292.31