Finding the Third Proportional to 82,820 and 110,343

Step by Step Solution

1. Step 1: Write the proportion equation
   82,820 : 110,343 = 110,343 : x
2. Step 2: Convert to fraction form
   82,820/110,343 = 110,343/x
3. Step 3: Cross multiply
   82,820x = 110,343 × 110,343
4. Step 4: Simplify right side
   82,820x = 12,175,577,649
5. Step 5: Solve for x
   x = 12,175,577,649/82,820
6. Step 6: Final answer
   x = 147,012.53