Finding the Third Proportional to 82,822 and 110,345

Step by Step Solution

1. Step 1: Write the proportion equation
   82,822 : 110,345 = 110,345 : x
2. Step 2: Convert to fraction form
   82,822/110,345 = 110,345/x
3. Step 3: Cross multiply
   82,822x = 110,345 × 110,345
4. Step 4: Simplify right side
   82,822x = 12,176,019,025
5. Step 5: Solve for x
   x = 12,176,019,025/82,822
6. Step 6: Final answer
   x = 147,014.31