Finding the Third Proportional to 100,589.50 and 209,441

Step by Step Solution

1. Step 1: Write the proportion equation
   100,589.50 : 209,441 = 209,441 : x
2. Step 2: Convert to fraction form
   100,589.50/209,441 = 209,441/x
3. Step 3: Cross multiply
   100,589.50x = 209,441 × 209,441
4. Step 4: Simplify right side
   100,589.50x = 43,865,532,481
5. Step 5: Solve for x
   x = 43,865,532,481/100,589.50
6. Step 6: Final answer
   x = 436,084.61