Finding the Third Proportional to 82,818 and 110,340

Step by Step Solution

1. Step 1: Write the proportion equation
   82,818 : 110,340 = 110,340 : x
2. Step 2: Convert to fraction form
   82,818/110,340 = 110,340/x
3. Step 3: Cross multiply
   82,818x = 110,340 × 110,340
4. Step 4: Simplify right side
   82,818x = 12,174,915,600
5. Step 5: Solve for x
   x = 12,174,915,600/82,818
6. Step 6: Final answer
   x = 147,008.09