Finding the Third Proportional to 189,784 and 410,736

Step by Step Solution

1. Step 1: Write the proportion equation
   189,784 : 410,736 = 410,736 : x
2. Step 2: Convert to fraction form
   189,784/410,736 = 410,736/x
3. Step 3: Cross multiply
   189,784x = 410,736 × 410,736
4. Step 4: Simplify right side
   189,784x = 168,704,061,696
5. Step 5: Solve for x
   x = 168,704,061,696/189,784
6. Step 6: Final answer
   x = 888,926.68