Finding the Third Proportional to 82,844 and 111,880

Step by Step Solution

1. Step 1: Write the proportion equation
   82,844 : 111,880 = 111,880 : x
2. Step 2: Convert to fraction form
   82,844/111,880 = 111,880/x
3. Step 3: Cross multiply
   82,844x = 111,880 × 111,880
4. Step 4: Simplify right side
   82,844x = 12,517,134,400
5. Step 5: Solve for x
   x = 12,517,134,400/82,844
6. Step 6: Final answer
   x = 151,092.83