Finding the Third Proportional to 88,636 and 191,744

Step by Step Solution

1. Step 1: Write the proportion equation
   88,636 : 191,744 = 191,744 : x
2. Step 2: Convert to fraction form
   88,636/191,744 = 191,744/x
3. Step 3: Cross multiply
   88,636x = 191,744 × 191,744
4. Step 4: Simplify right side
   88,636x = 36,765,761,536
5. Step 5: Solve for x
   x = 36,765,761,536/88,636
6. Step 6: Final answer
   x = 414,794.91