Finding the Third Proportional to 88,644 and 189,744

Step by Step Solution

1. Step 1: Write the proportion equation
   88,644 : 189,744 = 189,744 : x
2. Step 2: Convert to fraction form
   88,644/189,744 = 189,744/x
3. Step 3: Cross multiply
   88,644x = 189,744 × 189,744
4. Step 4: Simplify right side
   88,644x = 36,002,785,536
5. Step 5: Solve for x
   x = 36,002,785,536/88,644
6. Step 6: Final answer
   x = 406,150.28