Finding the Third Proportional to 139,842 and 209,723

Step by Step Solution

1. Step 1: Write the proportion equation
   139,842 : 209,723 = 209,723 : x
2. Step 2: Convert to fraction form
   139,842/209,723 = 209,723/x
3. Step 3: Cross multiply
   139,842x = 209,723 × 209,723
4. Step 4: Simplify right side
   139,842x = 43,983,736,729
5. Step 5: Solve for x
   x = 43,983,736,729/139,842
6. Step 6: Final answer
   x = 314,524.51