Finding the Third Proportional to 139,200 and 298,096

Step by Step Solution

1. Step 1: Write the proportion equation
   139,200 : 298,096 = 298,096 : x
2. Step 2: Convert to fraction form
   139,200/298,096 = 298,096/x
3. Step 3: Cross multiply
   139,200x = 298,096 × 298,096
4. Step 4: Simplify right side
   139,200x = 88,861,225,216
5. Step 5: Solve for x
   x = 88,861,225,216/139,200
6. Step 6: Final answer
   x = 638,370.87