Finding the Third Proportional to 140,872 and 191,864

Step by Step Solution

1. Step 1: Write the proportion equation
   140,872 : 191,864 = 191,864 : x
2. Step 2: Convert to fraction form
   140,872/191,864 = 191,864/x
3. Step 3: Cross multiply
   140,872x = 191,864 × 191,864
4. Step 4: Simplify right side
   140,872x = 36,811,794,496
5. Step 5: Solve for x
   x = 36,811,794,496/140,872
6. Step 6: Final answer
   x = 261,313.78