Finding the Third Proportional to 189,564 and 414,732

Step by Step Solution

1. Step 1: Write the proportion equation
   189,564 : 414,732 = 414,732 : x
2. Step 2: Convert to fraction form
   189,564/414,732 = 414,732/x
3. Step 3: Cross multiply
   189,564x = 414,732 × 414,732
4. Step 4: Simplify right side
   189,564x = 172,002,631,824
5. Step 5: Solve for x
   x = 172,002,631,824/189,564
6. Step 6: Final answer
   x = 907,359.16