Finding the Third Proportional to 95,792 and 208,164

Step by Step Solution

1. Step 1: Write the proportion equation
   95,792 : 208,164 = 208,164 : x
2. Step 2: Convert to fraction form
   95,792/208,164 = 208,164/x
3. Step 3: Cross multiply
   95,792x = 208,164 × 208,164
4. Step 4: Simplify right side
   95,792x = 43,332,250,896
5. Step 5: Solve for x
   x = 43,332,250,896/95,792
6. Step 6: Final answer
   x = 452,357.72