Finding the Third Proportional to 106,882 and 182,456

Step by Step Solution

1. Step 1: Write the proportion equation
   106,882 : 182,456 = 182,456 : x
2. Step 2: Convert to fraction form
   106,882/182,456 = 182,456/x
3. Step 3: Cross multiply
   106,882x = 182,456 × 182,456
4. Step 4: Simplify right side
   106,882x = 33,290,191,936
5. Step 5: Solve for x
   x = 33,290,191,936/106,882
6. Step 6: Final answer
   x = 311,466.78