Finding the Third Proportional to 139,338 and 209,322

Step by Step Solution

1. Step 1: Write the proportion equation
   139,338 : 209,322 = 209,322 : x
2. Step 2: Convert to fraction form
   139,338/209,322 = 209,322/x
3. Step 3: Cross multiply
   139,338x = 209,322 × 209,322
4. Step 4: Simplify right side
   139,338x = 43,815,699,684
5. Step 5: Solve for x
   x = 43,815,699,684/139,338
6. Step 6: Final answer
   x = 314,456.21