Finding the Third Proportional to 82,833 and 110,360

Step by Step Solution

1. Step 1: Write the proportion equation
   82,833 : 110,360 = 110,360 : x
2. Step 2: Convert to fraction form
   82,833/110,360 = 110,360/x
3. Step 3: Cross multiply
   82,833x = 110,360 × 110,360
4. Step 4: Simplify right side
   82,833x = 12,179,329,600
5. Step 5: Solve for x
   x = 12,179,329,600/82,833
6. Step 6: Final answer
   x = 147,034.75