Finding the Third Proportional to 82,192 and 117,456

Step by Step Solution

1. Step 1: Write the proportion equation
   82,192 : 117,456 = 117,456 : x
2. Step 2: Convert to fraction form
   82,192/117,456 = 117,456/x
3. Step 3: Cross multiply
   82,192x = 117,456 × 117,456
4. Step 4: Simplify right side
   82,192x = 13,795,911,936
5. Step 5: Solve for x
   x = 13,795,911,936/82,192
6. Step 6: Final answer
   x = 167,849.81