Finding the Third Proportional to 95,308 and 209,048

Step by Step Solution

1. Step 1: Write the proportion equation
   95,308 : 209,048 = 209,048 : x
2. Step 2: Convert to fraction form
   95,308/209,048 = 209,048/x
3. Step 3: Cross multiply
   95,308x = 209,048 × 209,048
4. Step 4: Simplify right side
   95,308x = 43,701,066,304
5. Step 5: Solve for x
   x = 43,701,066,304/95,308
6. Step 6: Final answer
   x = 458,524.64