Finding the Third Proportional to 82,398 and 111,930

Step by Step Solution

1. Step 1: Write the proportion equation
   82,398 : 111,930 = 111,930 : x
2. Step 2: Convert to fraction form
   82,398/111,930 = 111,930/x
3. Step 3: Cross multiply
   82,398x = 111,930 × 111,930
4. Step 4: Simplify right side
   82,398x = 12,528,324,900
5. Step 5: Solve for x
   x = 12,528,324,900/82,398
6. Step 6: Final answer
   x = 152,046.47