Finding the Third Proportional to 189,324 and 414,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,324 : 414,286.50 = 414,286.50 : x
2. Step 2: Convert to fraction form
   189,324/414,286.50 = 414,286.50/x
3. Step 3: Cross multiply
   189,324x = 414,286.50 × 414,286.50
4. Step 4: Simplify right side
   189,324x = 171,633,304,082.25
5. Step 5: Solve for x
   x = 171,633,304,082.25/189,324
6. Step 6: Final answer
   x = 906,558.62