Finding the Third Proportional to 189,224 and 414,736

Step by Step Solution

1. Step 1: Write the proportion equation
   189,224 : 414,736 = 414,736 : x
2. Step 2: Convert to fraction form
   189,224/414,736 = 414,736/x
3. Step 3: Cross multiply
   189,224x = 414,736 × 414,736
4. Step 4: Simplify right side
   189,224x = 172,005,949,696
5. Step 5: Solve for x
   x = 172,005,949,696/189,224
6. Step 6: Final answer
   x = 909,007.05