Finding the Third Proportional to 140,088 and 209,636

Step by Step Solution

1. Step 1: Write the proportion equation
   140,088 : 209,636 = 209,636 : x
2. Step 2: Convert to fraction form
   140,088/209,636 = 209,636/x
3. Step 3: Cross multiply
   140,088x = 209,636 × 209,636
4. Step 4: Simplify right side
   140,088x = 43,947,252,496
5. Step 5: Solve for x
   x = 43,947,252,496/140,088
6. Step 6: Final answer
   x = 313,711.76