Finding the Third Proportional to 100,614 and 209,562

Step by Step Solution

1. Step 1: Write the proportion equation
   100,614 : 209,562 = 209,562 : x
2. Step 2: Convert to fraction form
   100,614/209,562 = 209,562/x
3. Step 3: Cross multiply
   100,614x = 209,562 × 209,562
4. Step 4: Simplify right side
   100,614x = 43,916,231,844
5. Step 5: Solve for x
   x = 43,916,231,844/100,614
6. Step 6: Final answer
   x = 436,482.32