Finding the Third Proportional to 82,354 and 167,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,354 : 167,616 = 167,616 : x
2. Step 2: Convert to fraction form
   82,354/167,616 = 167,616/x
3. Step 3: Cross multiply
   82,354x = 167,616 × 167,616
4. Step 4: Simplify right side
   82,354x = 28,095,123,456
5. Step 5: Solve for x
   x = 28,095,123,456/82,354
6. Step 6: Final answer
   x = 341,150.68