Finding the Third Proportional to 139,821 and 209,748

Step by Step Solution

1. Step 1: Write the proportion equation
   139,821 : 209,748 = 209,748 : x
2. Step 2: Convert to fraction form
   139,821/209,748 = 209,748/x
3. Step 3: Cross multiply
   139,821x = 209,748 × 209,748
4. Step 4: Simplify right side
   139,821x = 43,994,223,504
5. Step 5: Solve for x
   x = 43,994,223,504/139,821
6. Step 6: Final answer
   x = 314,646.75