Finding the Third Proportional to 95,200 and 209,086

Step by Step Solution

1. Step 1: Write the proportion equation
   95,200 : 209,086 = 209,086 : x
2. Step 2: Convert to fraction form
   95,200/209,086 = 209,086/x
3. Step 3: Cross multiply
   95,200x = 209,086 × 209,086
4. Step 4: Simplify right side
   95,200x = 43,716,955,396
5. Step 5: Solve for x
   x = 43,716,955,396/95,200
6. Step 6: Final answer
   x = 459,211.72