Finding the Third Proportional to 96,980 and 209,256

Step by Step Solution

1. Step 1: Write the proportion equation
   96,980 : 209,256 = 209,256 : x
2. Step 2: Convert to fraction form
   96,980/209,256 = 209,256/x
3. Step 3: Cross multiply
   96,980x = 209,256 × 209,256
4. Step 4: Simplify right side
   96,980x = 43,788,073,536
5. Step 5: Solve for x
   x = 43,788,073,536/96,980
6. Step 6: Final answer
   x = 451,516.53