Finding the Third Proportional to 189,222 and 414,732

Step by Step Solution

1. Step 1: Write the proportion equation
   189,222 : 414,732 = 414,732 : x
2. Step 2: Convert to fraction form
   189,222/414,732 = 414,732/x
3. Step 3: Cross multiply
   189,222x = 414,732 × 414,732
4. Step 4: Simplify right side
   189,222x = 172,002,631,824
5. Step 5: Solve for x
   x = 172,002,631,824/189,222
6. Step 6: Final answer
   x = 908,999.12