Finding the Third Proportional to 76,851 and 162,822

Step by Step Solution

1. Step 1: Write the proportion equation
   76,851 : 162,822 = 162,822 : x
2. Step 2: Convert to fraction form
   76,851/162,822 = 162,822/x
3. Step 3: Cross multiply
   76,851x = 162,822 × 162,822
4. Step 4: Simplify right side
   76,851x = 26,511,003,684
5. Step 5: Solve for x
   x = 26,511,003,684/76,851
6. Step 6: Final answer
   x = 344,966.28