Finding the Third Proportional to 100,496 and 209,262

Step by Step Solution

1. Step 1: Write the proportion equation
   100,496 : 209,262 = 209,262 : x
2. Step 2: Convert to fraction form
   100,496/209,262 = 209,262/x
3. Step 3: Cross multiply
   100,496x = 209,262 × 209,262
4. Step 4: Simplify right side
   100,496x = 43,790,584,644
5. Step 5: Solve for x
   x = 43,790,584,644/100,496
6. Step 6: Final answer
   x = 435,744.55