Finding the Third Proportional to 140,868 and 191,862

Step by Step Solution

1. Step 1: Write the proportion equation
   140,868 : 191,862 = 191,862 : x
2. Step 2: Convert to fraction form
   140,868/191,862 = 191,862/x
3. Step 3: Cross multiply
   140,868x = 191,862 × 191,862
4. Step 4: Simplify right side
   140,868x = 36,811,027,044
5. Step 5: Solve for x
   x = 36,811,027,044/140,868
6. Step 6: Final answer
   x = 261,315.75