Finding the Third Proportional to 82,291 and 110,314

Step by Step Solution

1. Step 1: Write the proportion equation
   82,291 : 110,314 = 110,314 : x
2. Step 2: Convert to fraction form
   82,291/110,314 = 110,314/x
3. Step 3: Cross multiply
   82,291x = 110,314 × 110,314
4. Step 4: Simplify right side
   82,291x = 12,169,178,596
5. Step 5: Solve for x
   x = 12,169,178,596/82,291
6. Step 6: Final answer
   x = 147,879.82