Finding the Third Proportional to 88,872 and 191,568

Step by Step Solution

1. Step 1: Write the proportion equation
   88,872 : 191,568 = 191,568 : x
2. Step 2: Convert to fraction form
   88,872/191,568 = 191,568/x
3. Step 3: Cross multiply
   88,872x = 191,568 × 191,568
4. Step 4: Simplify right side
   88,872x = 36,698,298,624
5. Step 5: Solve for x
   x = 36,698,298,624/88,872
6. Step 6: Final answer
   x = 412,934.32