Finding the Third Proportional to 85,928 and 189,304

Step by Step Solution

1. Step 1: Write the proportion equation
   85,928 : 189,304 = 189,304 : x
2. Step 2: Convert to fraction form
   85,928/189,304 = 189,304/x
3. Step 3: Cross multiply
   85,928x = 189,304 × 189,304
4. Step 4: Simplify right side
   85,928x = 35,836,004,416
5. Step 5: Solve for x
   x = 35,836,004,416/85,928
6. Step 6: Final answer
   x = 417,046.88