Finding the Third Proportional to 100,326 and 208,956

Step by Step Solution

1. Step 1: Write the proportion equation
   100,326 : 208,956 = 208,956 : x
2. Step 2: Convert to fraction form
   100,326/208,956 = 208,956/x
3. Step 3: Cross multiply
   100,326x = 208,956 × 208,956
4. Step 4: Simplify right side
   100,326x = 43,662,609,936
5. Step 5: Solve for x
   x = 43,662,609,936/100,326
6. Step 6: Final answer
   x = 435,207.32