Finding the Third Proportional to 95,764 and 205,640

Step by Step Solution

1. Step 1: Write the proportion equation
   95,764 : 205,640 = 205,640 : x
2. Step 2: Convert to fraction form
   95,764/205,640 = 205,640/x
3. Step 3: Cross multiply
   95,764x = 205,640 × 205,640
4. Step 4: Simplify right side
   95,764x = 42,287,809,600
5. Step 5: Solve for x
   x = 42,287,809,600/95,764
6. Step 6: Final answer
   x = 441,583.58