Finding the Third Proportional to 95,796 and 194,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,796 : 194,323.50 = 194,323.50 : x
2. Step 2: Convert to fraction form
   95,796/194,323.50 = 194,323.50/x
3. Step 3: Cross multiply
   95,796x = 194,323.50 × 194,323.50
4. Step 4: Simplify right side
   95,796x = 37,761,622,652.25
5. Step 5: Solve for x
   x = 37,761,622,652.25/95,796
6. Step 6: Final answer
   x = 394,187.89