Finding the Third Proportional to 82,370 and 111,873

Step by Step Solution

1. Step 1: Write the proportion equation
   82,370 : 111,873 = 111,873 : x
2. Step 2: Convert to fraction form
   82,370/111,873 = 111,873/x
3. Step 3: Cross multiply
   82,370x = 111,873 × 111,873
4. Step 4: Simplify right side
   82,370x = 12,515,568,129
5. Step 5: Solve for x
   x = 12,515,568,129/82,370
6. Step 6: Final answer
   x = 151,943.28