Finding the Third Proportional to 105,209 and 144,637

Step by Step Solution

1. Step 1: Write the proportion equation
   105,209 : 144,637 = 144,637 : x
2. Step 2: Convert to fraction form
   105,209/144,637 = 144,637/x
3. Step 3: Cross multiply
   105,209x = 144,637 × 144,637
4. Step 4: Simplify right side
   105,209x = 20,919,861,769
5. Step 5: Solve for x
   x = 20,919,861,769/105,209
6. Step 6: Final answer
   x = 198,840.99