Finding the Third Proportional to 139,654 and 209,435

Step by Step Solution

1. Step 1: Write the proportion equation
   139,654 : 209,435 = 209,435 : x
2. Step 2: Convert to fraction form
   139,654/209,435 = 209,435/x
3. Step 3: Cross multiply
   139,654x = 209,435 × 209,435
4. Step 4: Simplify right side
   139,654x = 43,863,019,225
5. Step 5: Solve for x
   x = 43,863,019,225/139,654
6. Step 6: Final answer
   x = 314,083.52