Finding the Third Proportional to 140,876 and 191,870

Step by Step Solution

1. Step 1: Write the proportion equation
   140,876 : 191,870 = 191,870 : x
2. Step 2: Convert to fraction form
   140,876/191,870 = 191,870/x
3. Step 3: Cross multiply
   140,876x = 191,870 × 191,870
4. Step 4: Simplify right side
   140,876x = 36,814,096,900
5. Step 5: Solve for x
   x = 36,814,096,900/140,876
6. Step 6: Final answer
   x = 261,322.70