Finding the Third Proportional to 100,412 and 209,144

Step by Step Solution

1. Step 1: Write the proportion equation
   100,412 : 209,144 = 209,144 : x
2. Step 2: Convert to fraction form
   100,412/209,144 = 209,144/x
3. Step 3: Cross multiply
   100,412x = 209,144 × 209,144
4. Step 4: Simplify right side
   100,412x = 43,741,212,736
5. Step 5: Solve for x
   x = 43,741,212,736/100,412
6. Step 6: Final answer
   x = 435,617.38