Finding the Third Proportional to 140,836 and 191,814

Step by Step Solution

1. Step 1: Write the proportion equation
   140,836 : 191,814 = 191,814 : x
2. Step 2: Convert to fraction form
   140,836/191,814 = 191,814/x
3. Step 3: Cross multiply
   140,836x = 191,814 × 191,814
4. Step 4: Simplify right side
   140,836x = 36,792,610,596
5. Step 5: Solve for x
   x = 36,792,610,596/140,836
6. Step 6: Final answer
   x = 261,244.36