Finding the Third Proportional to 83,812 and 111,894

Step by Step Solution

1. Step 1: Write the proportion equation
   83,812 : 111,894 = 111,894 : x
2. Step 2: Convert to fraction form
   83,812/111,894 = 111,894/x
3. Step 3: Cross multiply
   83,812x = 111,894 × 111,894
4. Step 4: Simplify right side
   83,812x = 12,520,267,236
5. Step 5: Solve for x
   x = 12,520,267,236/83,812
6. Step 6: Final answer
   x = 149,385.14