Finding the Third Proportional to 82,508 and 169,388

Step by Step Solution

1. Step 1: Write the proportion equation
   82,508 : 169,388 = 169,388 : x
2. Step 2: Convert to fraction form
   82,508/169,388 = 169,388/x
3. Step 3: Cross multiply
   82,508x = 169,388 × 169,388
4. Step 4: Simplify right side
   82,508x = 28,692,294,544
5. Step 5: Solve for x
   x = 28,692,294,544/82,508
6. Step 6: Final answer
   x = 347,751.67