Finding the Third Proportional to 95,372 and 209,416

Step by Step Solution

1. Step 1: Write the proportion equation
   95,372 : 209,416 = 209,416 : x
2. Step 2: Convert to fraction form
   95,372/209,416 = 209,416/x
3. Step 3: Cross multiply
   95,372x = 209,416 × 209,416
4. Step 4: Simplify right side
   95,372x = 43,855,061,056
5. Step 5: Solve for x
   x = 43,855,061,056/95,372
6. Step 6: Final answer
   x = 459,831.62