Finding the Third Proportional to 95,880 and 209,256

Step by Step Solution

1. Step 1: Write the proportion equation
   95,880 : 209,256 = 209,256 : x
2. Step 2: Convert to fraction form
   95,880/209,256 = 209,256/x
3. Step 3: Cross multiply
   95,880x = 209,256 × 209,256
4. Step 4: Simplify right side
   95,880x = 43,788,073,536
5. Step 5: Solve for x
   x = 43,788,073,536/95,880
6. Step 6: Final answer
   x = 456,696.64