Finding the Third Proportional to 139,680 and 199,494

Step by Step Solution

1. Step 1: Write the proportion equation
   139,680 : 199,494 = 199,494 : x
2. Step 2: Convert to fraction form
   139,680/199,494 = 199,494/x
3. Step 3: Cross multiply
   139,680x = 199,494 × 199,494
4. Step 4: Simplify right side
   139,680x = 39,797,856,036
5. Step 5: Solve for x
   x = 39,797,856,036/139,680
6. Step 6: Final answer
   x = 284,921.65