Finding the Third Proportional to 139,408 and 213,294

Step by Step Solution

1. Step 1: Write the proportion equation
   139,408 : 213,294 = 213,294 : x
2. Step 2: Convert to fraction form
   139,408/213,294 = 213,294/x
3. Step 3: Cross multiply
   139,408x = 213,294 × 213,294
4. Step 4: Simplify right side
   139,408x = 45,494,330,436
5. Step 5: Solve for x
   x = 45,494,330,436/139,408
6. Step 6: Final answer
   x = 326,339.45