Finding the Third Proportional to 192,863.50 and 395,123

Step by Step Solution

1. Step 1: Write the proportion equation
   192,863.50 : 395,123 = 395,123 : x
2. Step 2: Convert to fraction form
   192,863.50/395,123 = 395,123/x
3. Step 3: Cross multiply
   192,863.50x = 395,123 × 395,123
4. Step 4: Simplify right side
   192,863.50x = 156,122,185,129
5. Step 5: Solve for x
   x = 156,122,185,129/192,863.50
6. Step 6: Final answer
   x = 809,495.76