Finding the Third Proportional to 189,096 and 279,906

Step by Step Solution

1. Step 1: Write the proportion equation
   189,096 : 279,906 = 279,906 : x
2. Step 2: Convert to fraction form
   189,096/279,906 = 279,906/x
3. Step 3: Cross multiply
   189,096x = 279,906 × 279,906
4. Step 4: Simplify right side
   189,096x = 78,347,368,836
5. Step 5: Solve for x
   x = 78,347,368,836/189,096
6. Step 6: Final answer
   x = 414,325.89