Finding the Third Proportional to 140,914 and 191,931

Step by Step Solution

1. Step 1: Write the proportion equation
   140,914 : 191,931 = 191,931 : x
2. Step 2: Convert to fraction form
   140,914/191,931 = 191,931/x
3. Step 3: Cross multiply
   140,914x = 191,931 × 191,931
4. Step 4: Simplify right side
   140,914x = 36,837,508,761
5. Step 5: Solve for x
   x = 36,837,508,761/140,914
6. Step 6: Final answer
   x = 261,418.37